Quiz about Graph of Quadratic Function Chapter Test 3

Question 1

How many solutions does this graph have?

Accepted Answer

two real rational solutions

Answer

one real rational solution

Answer

two real irrational solutions

Answer

two imaginary solutions

Question 2

Does this function have a maximum or minimum value?

Accepted Answer

maximum

Answer

minimum

Answer

cannot be determined

Answer

neither

Question 3

Use the graph to determine the solutions.

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 4

How many solutions does this graph have?

Accepted Answer

no real solutions

Answer

one real solution at x = 0

Answer

one real solutions at x = -2

Answer

two real solutions at x = -2

Question 5

Find the y-intercept of f(x) = 2x²-2x + 1

Accepted Answer

1

Answer

2

Answer

-2

Answer

-1

Question 6

What is the vertex (turning point) of the quadratic function:
y = x² - 6x + 11?

Accepted Answer

(3,2)

Answer

(-3,-2)

Answer

(-3,2)

Answer

(3,-2)

Question 7

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 8

Determine the vertex of the parabola:
y = 5x²- 20x + 13

Accepted Answer

(2, -7)

Answer

(5, -7)

Answer

(-2, -7)

Answer

(-7, -2)

Question 9

What is the axis of symmetry for the following equation?
y=4x²-8x+9

Accepted Answer

x=1

Answer

x=-8

Answer

x=-1

Answer

x=2

Question 10

What is the vertex of function
f(x) = 3(x+4)²-8?

Accepted Answer

(-4,-8)

Answer

(4,-8)

Answer

(3,-8)

Answer

(-4,8)

Question 11

What is the y-intercept for the function
y = -(x+2)²+9?

Accepted Answer

(0,5)

Answer

(0,9)

Answer

(-2,9)

Answer

(2,0)

Question 12

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 4

Answer

f(x) = (x - 4)² - 1

Answer

f(x) = (x + 1)² - 4

Answer

f(x) = (x - 4)² +1

Question 13

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 14

Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.

Accepted Answer

y = - (x - 4)² - 5

Answer

y = - (x - 5)² + 4

Answer

y = - (x + 4)² - 5

Answer

y = - (x + 5)² + 4

Question 15

Write the equation of the function y = -2(x+1)² - 4 in standard form.

Accepted Answer

y = -2x² -4x - 6

Answer

y = -2x² + 4x - 4

Answer

y = -2x² + 2x - 6

Answer

y = -2x² - x - 4

Question 16

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

Accepted Answer

f(x) = (x - 4)² - 15

Answer

f(x) = (x - 4)² + 17

Answer

f(x) = (x - 4)² - 17

Answer

f(x) = (x - 4)² + 65

Question 17

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 18

What is the axis of symmetry?

Accepted Answer

$$x=-1$$

Answer

$$x=9$$

Answer

$$x=-4$$

Answer

$$x=2$$

Question 19

What is the y-intercept?

Accepted Answer

$$\left(0,8\right)$$

Answer

$$\left(-4,0\right)$$

Answer

$$\left(8,0\right)$$

Answer

$$\left(0,2\right)$$

Question 20

What are the X-intercept(s) of this graph?

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

1 and -3

Answer

-1 and 3

Question 21

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 22

What is the equation for the axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 23

What is the vertex?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 24

Name the x-intercept(s)?

Accepted Answer

both (0,0) and (4,0)

Answer

(0,0) only

Answer

(4,0) only

Answer

(2,4)

Question 25

On a graph, x=0 at the y intercept.

Find the y-intercept of the equation

f(x)=x²+2x-24

Accepted Answer

(0,-24)

Answer

(0,2)

Answer

(-24,0) and (2,0)

Answer

(4,0)

Question 26

At the y-intercept, x=0.

Find the y-intercept of the function

y = -3(x + 2)² - 5

Accepted Answer

(0, -17)

Answer

(0, -5)

Answer

(-2, -5)

Answer

(2, -5)

Question 27

To find the vertex of the quadratic you need to first find the value for 'h' using the formula :
$$h=\frac{-b}{2a}$$
Use the equation:

$$f\left(x\right)=3x^2-12x+3$$

What is the value of h?

Accepted Answer

h = 2

Answer

h = 4

Answer

h = -4

Answer

h = -2

Question 28

Find the axis of symmetry for
f(x) = 2x²- 8x + 15.

Accepted Answer

x = 2

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 29

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

Accepted Answer

down

Answer

up

Answer

left

Answer

right

Question 30

What direction is the following equation opening?
y=5x²+6x+9

Accepted Answer

Up

Answer

Down

Answer

left

Answer

right

Question 31

What is the axis of symmetry for the following equation?
y=4x²-8x+9

Accepted Answer

x=1

Answer

x=-8

Answer

x=-1

Answer

x=4

Question 32

.How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 33

What do we call the highest or lowest point of a quadratic?

Accepted Answer

turning point

Answer

parabola

Answer

graph

Answer

point

Question 34

What is the definition of an axis of symmetry?

Accepted Answer

the mirror line in a quadratic

Answer

place where the curve changes direction

Answer

place where the curve crosses the x axis

Answer

place where the curve crosses the y axis

Question 35

What are the roots of this graph? (SELECT ALL THAT APPLY)

Accepted Answer

x = 1

Accepted Answer

x = -4

Answer

x = 0

Answer

x = -5

Question 36

What are the x-intercepts of this graph? (SELECT ALL THAT APPLY)

Accepted Answer

x = 2

Answer

x = 4

Answer

x = 0

Answer

No real solutions

Question 37

What are the solutions of this graph? (SELECT ALL THAT APPLY)

Accepted Answer

x = 2

Answer

x = -2

Answer

x = 0

Answer

No real solutions

Question 38

What are the x-intercepts of this graph? (SELECT ALL THAT APPLY)

Accepted Answer

x = 1

Accepted Answer

x = 4

Answer

x = 0

Answer

No real solutions

Question 39

What are the solutions of this graph? (SELECT ALL THAT APPLY)

Accepted Answer

x = 1

Accepted Answer

x = 4

Answer

x = 0

Answer

No real solutions

Question 40

What is a parabola?

Accepted Answer

The U-shaped graph of a quadratic function

Answer

The straight graph of a quadratic function

Answer

The circular graph of a quadratic function

Answer

The V-shaped graph of a quadratic function

Question 41

Which of the following graphs appropriately marks the axis of symmetry?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 42

What are the x-intercepts?

Accepted Answer

0 and 4

Answer

0 and 2

Answer

-4 and 0

Answer

2 and 3

Question 43

Which graph is function y = 2(x + 1)²?

Accepted Answer

Question 44

What equation represents the quadratic function?

Accepted Answer

y = x² + 8

Answer

y = (x - 8)²

Answer

y = (x + 8)²

Answer

y = x² - 8

Question 45

What equation represents the quadratic function?

Accepted Answer

y = (x + 4)²

Answer

y = (x - 4)²

Answer

y = x² - 4

Answer

y = x² + 4

Question 46

What equation represents the quadratic function?

Accepted Answer

y = (x - 5)² - 3

Answer

y = (x - 5)² + 3

Answer

y = (x + 5)² - 3

Answer

y = (x - 3)² - 5

Question 47

What equation represents the quadratic function?

Accepted Answer

y = (x - 1)² - 4

Answer

y = (x - 4)² + 1

Answer

y = (x + 1)² - 4

Answer

y = (x - 4)² - 1

Graph of Quadratic Function Chapter Test 3

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