Quiz about Weekly Review 1/31/25

Question 1

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 2

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(1, 4); opens down

Answer

(-1, 4); opens up

Answer

(-1, 4); opens down

Answer

(1, 4); opens up

Question 3

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 4

Does
y = -4x²
have a maximum or minimum value?

Accepted Answer

maximum

Answer

minimum

Question 5

Which answer choice describes y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 6

Using the equation y = ax²+ bx + c to represent a parabola on a graph, which statement is true?

Accepted Answer

If a is positive, the parabola opens upward.

Answer

If b is negative, the parabola opens downward.

Answer

If a is negative, the parabola opens upward.

Answer

If c is negative, the parabola opens downward.

Question 7

What is the vertex of the graph?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 8

A line about which a figure is symmetric is the ____ __ ________

Accepted Answer

Axis of Symmetry

Answer

Solution Set

Answer

Intercept Formula

Answer

Quadratic Function

Question 9

What is the axis of symmetry of this parabola?

Accepted Answer

x = -4

Answer

-4

Answer

x = -2

Answer

y = -4

Question 10

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

Accepted Answer

g(x) = (x + 4)² - 2

Answer

g(x) = (x - 4)² - 2

Answer

g(x) = (x - 4)² + 2

Answer

g(x) = (x + 4)² + 2

Question 11

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x². Write a rule for g.

Accepted Answer

g(x) = -(x - 7)²

Answer

g(x) = (x - 7)²

Answer

g(x) = -(x + 7)²

Answer

g(x) = (x + 7)²

Question 12

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)²- 8. Write a rule for g.

Accepted Answer

g(x) = (x - 4)²+ 4

Answer

g(x) = (x + 10)²+ 4

Answer

g(x) = (x - 4)²- 20

Answer

g(x) = (x + 10)²- 20

Question 13

Identify the function graphed here.

Accepted Answer

$$f\left(x\right)=\left(x+4\right)^2-2$$

Answer

$$f\left(x\right)=\left(x-4\right)^2-2$$

Answer

$$f\left(x\right)=-\left(x+4\right)^2-2$$

Answer

$$f\left(x\right)=-\left(x-4\right)^2-2$$

Question 14

Identify the function graphed here.

Accepted Answer

$$f\left(x\right)=-\left(x-3\right)^2$$

Answer

$$f\left(x\right)=\left(x-3\right)^2$$

Answer

$$f\left(x\right)=-x^2+3$$

Answer

$$f\left(x\right)=\left(x+3\right)^2$$

Question 15

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

Accepted Answer

$$f\left(x\right)=\left(x-2\right)^2-7$$

Answer

$$f\left(x\right)=\left(x+2\right)^2-7$$

Answer

$$f\left(x\right)=-\left(x+2\right)^2-7$$

Answer

$$f\left(x\right)=-\left(x-2\right)^2-7$$

Question 16

Which of the following is a quadratic function that has a vertex at (0, 10) and opens down?

Accepted Answer

$$f\left(x\right)=\left(x+10\right)^2$$

Answer

$$f\left(x\right)=-x^2+10$$

Answer

$$f\left(x\right)=-\left(x-10\right)^2$$

Answer

$$f\left(x\right)=x^2+10$$

Question 17

Which answer choice describes y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 18

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 19

Identify the vertex and whether the graph opens up or down.

Accepted Answer

(-5, 2); opens up

Answer

(5, 2); opens up

Answer

(5, 2); opens down

Answer

(-5, 2); opens down

Question 20

Which equation would give the graph of a parabola?

Accepted Answer

y = x2 + 4

Answer

y = 2x - 3

Answer

y = x₂+ 1

Question 21

How can you tell whether a parabola is facing up or facing down by looking at the equation?

Accepted Answer

The value of "a" tells you the direction of the opening.

Answer

The vertex tells you the direction of the opening

Answer

All parabolas open upward

Answer

All parabolas open downward

Question 22

What is the equation of the following graph?

Accepted Answer

y = x2 - 2

Answer

y = 2x2

Answer

y = x2 + 2

Answer

y = - 2x2

Question 23

Which of the following graphs could be y = 5x² + 1?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

Does the quadratic have a max/min vertex, and does the parabola open up/down?

Accepted Answer

max/ opens down

Answer

min/ opens up

Answer

max/ opens up

Answer

min/ opens down

Question 25

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 26

Which of the following is an example of quadratic equations?

Accepted Answer

x² - 2x = 7

Answer

x + 9 = 0

Answer

x + y =12

Answer

x³ + 5x² - 14 =0

Question 27

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 28

Is this a max or min?

Accepted Answer

max

Answer

min

Answer

cannot be determined

Question 29

What is the axis of symmetry?

Accepted Answer

the dividing line for a parabola

Answer

the slope of the graph

Answer

a way to spin my pencil

Answer

the x-axis

Question 30

Does the equation open up or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

Neither; it opens to the right.

Answer

Neither; it opens to the left.

Question 31

What is the vertex of the following equation?
y=5(x-3)²+5

Accepted Answer

(3,5)

Answer

(-3,5)

Answer

(3, -5)

Answer

(-3,-5)

Question 32

What is the vocab term for the shape of this graph?

Accepted Answer

parabola

Answer

circle

Answer

hyperbola

Answer

paramedic

Question 33

The point (4, -3) is a...

Accepted Answer

Minimum

Answer

Maximum

Question 34

What is Standard form?

Accepted Answer

$$y=ax^2+bx+c$$

Answer

$$y=a\left(x-p\right)\left(x-q\right)$$

Answer

$$y=a\left(x-h\right)^2+k$$

Answer

$$y=mx+b$$

Question 35

What is the shape of the quadratic called?

Accepted Answer

Parabola

Answer

That "U" shape

Answer

There's a name for it?

Answer

No hablo Ingles

Question 36

Which equation could possibly represent this parabola?

Accepted Answer

$$f\left(x\right)=2x^2+6x-8$$

Answer

$$f\left(x\right)=-2x^2$$

Answer

$$f\left(x\right)=-3x^2+6x+9$$

Question 37

What is the vertex of the parabola above?

Accepted Answer

(1,-4)

Answer

(-1,0)

Answer

(0,-3)

Answer

(3,0)

Question 38

Does the following quadratic function have a minimum or maximum point:

y = -(x - 4)²- 3

Accepted Answer

Maximum

Answer

Minimum

Question 39

Which of the following quadratic equations has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 40

Compare y = 4x² to y = x²

Accepted Answer

vertical stretch

Answer

moves to the left 4

Answer

moves to the right 4

Answer

vertical shrink

Question 41

Compare y = 1/4 x² to y = x²

Accepted Answer

vertical shrink

Answer

moves 1/4 to the right

Answer

moves 1/4 down

Answer

vertical stretch

Question 42

Compare y = x² - 7 to the parent function y = x²

Accepted Answer

moves 7 units down

Answer

moves 7 units right

Answer

moves 7 units left

Answer

moves 7 units up

Question 43

Compare y = (x-8)² to the parent function y = x²

Accepted Answer

moves 8 units right

Answer

moves 8 units left

Answer

moves 8 units up

Answer

moves 8 units down

Question 44

Compare y = (x+ 10)² to the parent function y = x²

Accepted Answer

moves 10 units left

Answer

moves 10 units right

Answer

moves 10 units up

Answer

moves 10 units down

Question 45

Compare y = 2(x - 3)²+ 5 to the parent function y = x²

Accepted Answer

vertical stretch, moves 3 units right and 5 units up

Answer

vertical stretch, moves 3 units left and 5 units up

Answer

vertical shrink, moves 3 units left and 5 units up

Answer

vertical shrink, moves 3 units right and 5 units up

Question 46

Compare y = 1/2(x + 3)²+ 5 to the parent function y = x²

Accepted Answer

vertical shrink, moves 3 units left and 5 units up

Answer

vertical stretch, moves 3 units left and 5 units up

Answer

vertical shrink, moves 3 units right and 5 units up

Answer

vertical stretch, moves 3 units right and 5 units up

Question 47

When the vertex is the lowest point on the graph, we call that a...

Accepted Answer

Minimum

Answer

Maximum

Answer

Parabola

Answer

Point of Interest

Question 48

When the vertex is the highest point on the graph, we call that a...

Accepted Answer

Maximum

Answer

Minimum

Answer

x-intercept

Answer

y-intercept

Question 49

Identify number 4 on the graph.

Accepted Answer

Axis of Symmetry

Answer

Vertex

Answer

Y-intercept

Answer

X-axis

Question 50

Identify number 3 on the graph

Accepted Answer

Vertex

Answer

Range

Answer

Axis of Symmetry

Answer

Domain

Question 51

Which graph represents a quadratic relation?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 52

Which of the following equations matches vertex form of a quadratic?

Accepted Answer

y = a(x - h)² + k

Answer

ax + by = c

Answer

y = ax² + bx + c

Answer

y = mx + b

Question 53

What piece of information does h identify in the following equation?
y=a(x-h)²+k

Accepted Answer

Axis of Symmetry

Answer

y value of the vertex

Answer

Direction (facing up or down)

Answer

x-intercept

Question 54

If the blue graph is
f(x) = x²
then the red must be...

Accepted Answer

g(x) = x²- 5

Answer

g(x) = x²+ 5

Answer

g(x) = (x - 5)²

Answer

g(x) = (x + 5)²

Question 55

What causes the graph of y = x² to open downward?

Accepted Answer

multiply the x² by a negative number

Answer

multiply the x² by a fraction

Answer

multiply the x² by a decimal

Answer

multiply the x² by a number greater than 1

Question 56

Match the equation to its description.

Accepted Answer

Stretched by 2 and up 4

Answer

Compressed by 2 and up 4

Answer

Stretched by 2 and left 4

Answer

Compressed by 2 and left 4

Question 57

Match the equation to its description.

Accepted Answer

Reflected over x and down 4

Answer

Reflected over x and up 4

Answer

Reflected over x and right 4

Answer

Reflected over x and left 4

Question 58

What steps transform the graph y = x² to y = 2(x+2)² - 5?

Accepted Answer

Stretch by 2, shifted 2 units left and 5 down

Answer

Compress by 2, shifted 2 units left and 5 down

Answer

Stretch by 5, shifted 5 units left and 2 down

Answer

Compress by 5, shifted 2 units left and 2 down

Question 59

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

Accepted Answer

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Answer

Stretched by 1/2, shifted 4 units right and 1 unit down

Question 60

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

Accepted Answer

reflection, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 61

Match the description to its equation.
Stretches by a factor of 3

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 62

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

Accepted Answer

horizontal shift left and vertical shift down

Answer

horizontal shift down and vertical shift left

Answer

horizontal shift right and vertical shift up

Answer

horizontal shift up and vertical shift right

Question 63

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

Accepted Answer

reflection, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 64

In the equation f(x)=5(x+3)²-10 what does the 5 do?

Accepted Answer

Vertical stretch by 5

Answer

Horizontal compress by 5

Answer

Reflect

Answer

Move up 5

Weekly Review 1/31/25

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