Quiz about Quadratic Function and Transformation

Question 1

What is the Vertex coordinates for the following parabola: f(x) = 2(x-3)²+4

Accepted Answer

(3,4)

Answer

(2,4)

Answer

(1,4)

Answer

(0,2)

Question 2

Which of the following equations is a parabola?

Accepted Answer

y = 2x²+ 4

Answer

y = 2x + 4

Answer

y = 2x³ + 4

Answer

y = 2x

Question 3

Which is the most basic equation, or parent function, of a parabola?

Accepted Answer

y = x2

Answer

y = 2x² + 3

Answer

y = -x² -4

Answer

y = -x2

Question 4

Which of the following will be a parabola that opens down?

Accepted Answer

y = -x2

Answer

y = x2 -1

Answer

y = -x -1

Answer

y = 3x2

Question 5

What is the maximum point of this graph?

Accepted Answer

(2, 1)

Answer

(2, -1)

Answer

(2, -3)

Answer

(1, 2)

Question 6

What are the coordinates of the y-intercept?

Accepted Answer

(0, -3)

Answer

(-3, 0)

Answer

(2, 1)

Answer

y=-3

Question 7

What are the x-intercepts for this graph?

Accepted Answer

1 and 3

Answer

1 and -3

Answer

0 and -3

Answer

0 and 3

Question 8

Does this graph show a maximum or a minimum?

Accepted Answer

Maximum

Answer

Minimum

Question 9

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 10

The axis of symmetry line passes through which point?

Accepted Answer

vertex

Answer

y-intercept

Answer

any random point

Answer

symmetrical point for the vertex

Question 11

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 12

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 13

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 14

Which equation 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 15

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 16

Given the equation for this parabola:
y=-(x-4)²- 3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 17

Describe the transformation of y = (x + 7)²

Accepted Answer

Shift to the LEFT

Answer

Shift UPWARD

Answer

Shift DOWNWARD

Answer

Shift to the RIGHT

Question 18

Describe the transformation of y = x² - 5

Accepted Answer

Shift DOWNWARD

Answer

Shift UPWARD

Answer

Shift LEFT

Answer

Shift RIGHT

Question 19

Describe the transformation of y = (x - 4)²

Accepted Answer

Shift RIGHT

Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Question 20

Describe the transformation of y = x² + 4

Accepted Answer

Shift UP

Answer

Shift DOWN

Answer

Shift LEFT

Answer

Shift RIGHT

Question 21

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

Accepted Answer

horizontal shift left 7 units

Answer

horizontal shift right 7 units

Answer

vertical shift up 7 units

Answer

vertical shift down 7 units

Question 22

If the blue is f(x)=x^2,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 23

f(x) = 5x² + 2

Accepted Answer

Stretch of 5
Up 2

Answer

Shrink of 5
Up 2

Answer

Stretch of 5
Down 2

Answer

Shrink of 5
Down 2

Question 24

What is the green dot on the parabola called?

Accepted Answer

vertex

Answer

x-interecpt

Answer

y-interecept

Answer

maximum value

Question 25

Describe the transformation of y =(x - 3)² + 5

Accepted Answer

translated Right 3, Up 5

Answer

translated Left 3, Up 5

Answer

translated Right 5, Down 3

Answer

translated Right 3, Down 5

Question 26

Describe the transformation of y = x² + 4

Accepted Answer

Shift UP 4

Answer

Shift DOWN 4

Answer

Shift LEFT 4

Answer

Shift RIGHT 4

Question 27

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

Accepted Answer

left 3

Answer

right 3

Answer

left 5

Answer

right 5

Question 28

If the blue graph is
f(x) = x²the red must be...

Accepted Answer

g(x) = (x - 3)²

Answer

g(x) = (x + 3)²

Answer

g(x) = x²+ 3

Answer

g(x) = x²- 2

Question 29

How many zeros exist for the following function?
x² - 6x + 5 = 0

Accepted Answer

Two real solutions

Answer

No real roots

Answer

One real solution

Answer

Three solutions

Question 30

Describe the transformations of f(x) compared to the parent function:
f(x)=x²+5

Accepted Answer

vertical shift up 5 units

Answer

horizontal shift right 5 units

Answer

horizontal shift left 5 units

Answer

vertical shift down 5 units

Question 31

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

Accepted Answer

horizontal shift left 7 units

Answer

horizontal shift right 7 units

Answer

vertical shift up 7 units

Answer

vertical shift down 7 units

Question 32

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

Accepted Answer

Vertical stretch by a factor of 5

Answer

Vertical shrink/compress by a factor of 5

Answer

Reflect over x-axis

Answer

Vertical shift up 5 units

Question 33

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

Accepted Answer

Vertical stretch by a factor of 5

Answer

Vertical shrink/compress by a factor of 5

Answer

Reflect over x-axis

Answer

Vertical shift up 5 units

Question 34

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit from the function f(x)=x²+4?

Accepted Answer

g(x)=(x-1)²+4

Answer

g(x)=x2+5

Answer

g(x)=(x+1)²+4

Answer

g(x)=x2+3

Question 35

Describe the transformation of
f(x) = x²-8 when compared to the parent function

Accepted Answer

Vertical shift down 8 units

Answer

Vertical shift up 8 units

Answer

Horizontal shift right 8 units

Answer

Horizontal shift left 8 units

Quadratic Function and Transformation

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