Quiz about Quadratic Relationships

Question 1

Which graph represents a quadratic relation?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 2

Which of the following equations represents a quadratic relation?

Accepted Answer

$$y=2x^2+1$$

Answer

Answer

$$2x+y\ =3$$

Answer

Question 3

Which finite difference is constant for a quadratic equation?

Accepted Answer

Second

Answer

First

Answer

Third

Answer

No Pattern

Question 4

What type of function does this table represent?

Accepted Answer

Quadratic

Answer

Linear

Answer

Cubic

Answer

Exponential

Question 5

If you use a difference table and find that the first differences are not constant and the second differences are not constant, this must mean......

Accepted Answer

That this is neither a linear or a quadratic relation

Answer

That this is a linear relation

Answer

That this is a quadratic relation

Answer

That you have made a mistake

Question 6

The coordinates of the vertex in this function f(x)= 3 (x+1)² +4

Accepted Answer

(-1,4)

Answer

(1,4)

Answer

(3,4)

Answer

(3,1)

Question 7

The coordinates of the y-intercept in this function f(x) = x²+ 8x - 2

Accepted Answer

(0,-2)

Answer

(0,0)

Answer

(2,0)

Answer

(-2,0)

Question 8

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 9

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 10

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 11

Does this parabola have a minimum or maximum and what is its value?

Accepted Answer

maximum: 5

Answer

minimum: 2

Answer

maximum: 2

Answer

minimum: 5

Question 12

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 13

What is another name for the x-intercepts of a quadratic?

Accepted Answer

zeros , roots

Answer

y-intercepts

Answer

x-axis

Answer

none of these

Question 14

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Accepted Answer

True

Answer

False, because the solution and root are the same but the x-intercept and zero are different

Answer

False, because the x-intercept and root are the same but the zero and solution are different

Answer

False, they are all different

Question 15

Which point is an example of a y-intercept?

Accepted Answer

(0,4)

Answer

(3,4)

Answer

(-2,8)

Answer

(5,0)

Question 16

The axis of symmetry line passes through which point?

Accepted Answer

vertex

Answer

y-intercept

Answer

any random point

Answer

none of these

Question 17

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 18

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 19

What equation represents the quadratic function?

Accepted Answer

y = (x + 7)² + 2

Answer

y = (x - 7)² - 2

Answer

y = (x + 7)² - 2

Answer

y = (x + 2)² + 7

Question 20

What equation represents the quadratic function?

Accepted Answer

y = -x² + 5

Answer

y = -(x - 5)²

Answer

y = x² - 5

Answer

y = (x - 5)²

Question 21

What equation represents the quadratic function?

Accepted Answer

y = -(x - 6)² - 3

Answer

y = -(x - 6)² + 3

Answer

y = -(x + 6)² - 3

Answer

y = -(x + 6)² + 3

Question 22

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

Question 23

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 24

What steps transform the graph y = x² to y = x² + 8

Accepted Answer

shifted up 8 units

Answer

shifted down 8 units

Answer

shifted left 8 units

Answer

shifted right 8 units

Question 25

What steps transform the graph y = x² to y = (x-4)²

Accepted Answer

Shifted right 4 units

Answer

Shifted down 4 units

Answer

Shifted left 4 units

Answer

Shifted up 4 units

Question 26

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

Accepted Answer

up

Answer

down

Question 27

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

Quadratic Relationships

27 questions

Which graph represents a quadratic relation?

Which of the following equations represents a quadratic relation?

Which finite difference is constant for a quadratic equation?

What type of function does this table represent?

If you use a difference table and find that the first differences are not constant and the second differences are not constant, this must mean......

The coordinates of the vertex in this function f(x)= 3 (x+1)² +4

The coordinates of the y-intercept in this function f(x) = x²+ 8x - 2

What is the equation for axis of symmetry?

What are the green dots called?

What is the green dot on the parabola called?

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Quadratic Relationships

27 questions

Which graph represents a quadratic relation?

Which of the following equations represents a quadratic relation?

Which finite difference is constant for a quadratic equation?

What type of function does this table represent?

If you use a difference table and find that the first differences are not constant and the second differences are not constant, this must mean......

The coordinates of the vertex in this function f(x)= 3 (x+1)2 +4

The coordinates of the y-intercept in this function f(x) = x2 + 8x - 2

What is the equation for axis of symmetry?

What are the green dots called?

What is the green dot on the parabola called?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The coordinates of the vertex in this function f(x)= 3 (x+1)² +4

The coordinates of the y-intercept in this function f(x) = x²+ 8x - 2