Quiz about Interpreting Quadratic Functions

Question 1

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 2

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 3

What is the green dot on the parabola called?

Accepted Answer

vertex

Answer

y intercept

Answer

roots

Answer

zeros

Question 4

Which of the following is true

Accepted Answer

The minimum value is -4

Answer

The minimum value is 4

Answer

The maximum value is -4

Answer

The maximum value is 4

Question 5

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 6

A parabola is upside-down when a is:

Accepted Answer

negative

Answer

positive

Answer

0

Answer

a fraction or decimal

Question 7

Which transformation transforms the graph of

y = x² to the graph of

y = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 8

Match the description to its equation:

shifts the parabola down 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

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

Accepted Answer

Vertical stretch by 5

Answer

Horizontal compress by 5

Answer

Reflect in the x

Answer

Move up 5

Question 10

How does the width of the graph y = 3/4 (x - 5)² + 12 compare with the width of y =x²

Accepted Answer

wider

Answer

congruent

Answer

narrower

Question 11

Which of the following statements is true for

y = -(x + 3)² - 5

Accepted Answer

The parabola opens down and has a maximum value

Answer

The parabola opens up and has a maximum value

Answer

The parabola opens up and has a minimum value

Answer

The parabola opens down and has a minimum value

Question 12

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

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 13

Match the description to its equation.
Moves up 2
Moves left 4

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

If the blue graph is

y= x²

then the red must be...

Accepted Answer

y = x2 - 5

Answer

y= x2 + 5

Answer

y = (x - 5)²

Answer

y = (x + 5)²

Question 15

What transformations occurred to get y = x², which is the red graph, to become 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 16

What transformations have occurred?

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 17

What transformations were done to y = x² to make it become y = -1/5(x - 1)² + 7 ?

Accepted Answer

reflection in the x axis, vertical compression, horizontal right, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection in the x axis, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 18

What is the vertex of the quadratic function: y=1/2 (x-3)²+8?

Accepted Answer

(3,8)

Answer

(-3,-8)

Answer

(-3,8)

Answer

(3,-8)

Question 19

Match the equation to its description.

Accepted Answer

Vertical Stretched by 2 and shifted up 4

Answer

Vertical Compressed by 2 and shifted up 4

Answer

Horizontal Stretched by 2 and shifted left 4

Answer

Horizontal Compressed by 2 and shifted right 4

Question 20

Which equation has a vertex of (-5, 2)?

Accepted Answer

y = 2(x+5)²+ 2

Answer

y = (x+2)² - 5

Answer

y = (x-5)² + 2

Answer

y = 2(x - 2)² + 5

Question 21

What type of function is given in the table?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

trigonometric

Question 22

Which of the following would be the quadratic equation for a graph that has a step pattern of 3,9,15

Accepted Answer

y =(x + 5)(3x +7)

Answer

y=2(x-5)² + 7

Answer

y = -x² + 2x -7

Answer

y =(3x- 7)(3x + 7)

Question 23

What would be the equation of the axis of symmetry for

y =2(x -3)² + 7

Accepted Answer

x = 3

Answer

x =2

Answer

x = - 3

Answer

x = 7

Question 24

What would be the coordinates of the zeros for

y = 2( x + 1)² -2

Accepted Answer

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

Answer

( 0,0 ) and ( 0, 2)

Answer

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

Answer

( 0,0) and ( 2,0)

Question 25

Which of the following statements is FALSE about y = -x² + 7

Accepted Answer

The minimum value of 7

Answer

The y intercept is at ( 0, 7)

Answer

The vertex is at (0,7)

Answer

The equation of the axis of symmetry is x = 0

Question 26

Which of the following equations is congruent to y = 2x²

Accepted Answer

y = 2( x + 4)² - 3

Answer

y = (x + 7)² - 6

Answer

y = 2x + 3

Answer

y = ( 2x + 3)(2x - 3)

Question 27

Which of the following would you expect to be true for the table of values for every quadratic function

Accepted Answer

The second differences would be constant

Answer

The first differences would be constant

Answer

The y values would increase by a fixed amount

Answer

The y values would always be negatives

Question 28

Which of the following statements is true for y = -3x² + 9

Accepted Answer

The parabola opens down and has a maximum value of 9.

Answer

The parabola opens up and has a maximum value of 9.

Answer

The parabola opens down and has a minimum value of 9.

Answer

The parabola opens up and has a minimum value of 9.

Question 29

What is the correct sequence to arrange the following equations in order from narrowest to widest

A) y = 0.25x² - 3

B) y = 4( x+ 3)² + 1

C) y = - ( x + 2)² -7

D) y = 2x² + 3x - 2

Accepted Answer

B, D, C, A

Answer

D, C, B, A

Answer

A, C, D, D

Answer

C, A, D, B

Question 30

Which of the following points is on the graph y = x²

Accepted Answer

( -5, 25

Answer

( 2, 1)

Answer

( -1, 0)

Answer

( 4, 12)

Interpreting Quadratic Functions

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