Quiz about Understanding Quadratic Functions Quiz

Question 1

Which of the following points is the vertex of the parabola graphed by $$f(x) = -5(x+3)^2 - 4$$ ?

Accepted Answer

$$(-3, -4)$$

Answer

$$(-5, 3)$$

Answer

$$(-4, 3)$$

Answer

$$(-4, -3)$$

Answer

$$(3, -4)$$

Question 2

What is the axis of symmetry of the parabola given by $$f(x) = 12(x+5)^2 - 3$$ ?

Accepted Answer

$$x = -5$$

Answer

$$y = -5$$

Answer

$$x = 5$$

Answer

$$y = 5$$

Answer

$$x = -3$$

Question 3

Select the true statement about the function $$h(t) = -16(t-5.5)^2 + 120$$ .

Accepted Answer

The function $$h(t)$$ has a maximum value of 120.

Answer

The function $$h(t)$$ has a minimum value of 5.5.

Answer

The function $$h(t)$$ has a minimum value of 120.

Answer

The function $$h(t)$$ has a minimum value of -16.

Answer

The function $$h(t)$$ has a maximum value of 5.5.

Question 4

Which of the following points is the vertex of the parabola given by the function $$f(x) = x^2 - 4x + 4$$ ?

Accepted Answer

$$(2, 0)$$

Answer

$$(-4, 0)$$

Answer

$$(-2, 0)$$

Answer

$$(0, 0)$$

Answer

$$(4, 0)$$

Question 5

Which statement is true about the graph of $$p(x) = x^2 + 4x - 5$$ ?

Accepted Answer

The vertex of the graph is $$(-2, -5)$$ .

Answer

The graph opens downward.

Answer

The minimum value is -9.

Answer

The axis of symmetry is $$x = 2$$ .

Answer

The y-intercept is $$(-5, 0)$$ .

Question 6

What are the solutions to the equation $$(x-3)(x+4) = 0$$ ?

Accepted Answer

$$x = -3$$ & $$x = 4$$

Answer

$$x = -3$$ & $$x = -4$$

Answer

$$x = 3$$ & $$x = -4$$

Answer

$$x = 3$$ & $$x = 4$$

Answer

No solution

Question 7

Which function, when graphed, would open downward and have x-intercepts at $$(-5, 0)$$ and $$(1, 0)$$ ?

Accepted Answer

$$p(x) = -2(x+5)(x-1)$$

Answer

$$p(x) = -2(x-5)(x-1)$$

Answer

$$p(x) = -2(x-5)(x+1)$$

Answer

$$p(x) = 2(x-5)(x+1)$$

Answer

$$p(x) = 2(x+5)(x-1)$$

Question 8

What are the factors and solutions of the equation $$x^2 - 8x + 15 = 0$$ ?

Accepted Answer

$$(x-5)(x-3); x = 5, 3$$

Answer

$$(x-5)(x-3); x = -5, -3$$

Answer

$$(x-5)(x+3); x = 5, -3$$

Answer

$$(x+5)(x-3); x = -5, 3$$

Answer

$$(x+5)(x+3); x = -5, -3$$

Question 9

What is the factored form of the expression $$9x^2 - 25$$ ?

Accepted Answer

$$(3x-5)(3x+5)$$

Answer

$$(3x-5)(3x-5)$$

Answer

$$(3x+5)(3x+5)$$

Answer

$$(5x-3)(5x+3)$$

Answer

$$(5x-3)(5x-3)$$

Question 10

What is the vertex form of the quadratic function $$y = 3x^2 + 12x + 7$$ ?

Accepted Answer

$$y = 3(x+2)^2 - 5$$

Answer

$$y = 3(x-2)^2 + 5$$

Answer

$$y = 3(x+4)^2 - 7$$

Answer

$$y = 3(x+2)^2 + 5$$

Answer

$$y = 3(x-2)^2 - 5$$

Question 11

Which of the following functions has a maximum value at $$x = 3$$ ?

Accepted Answer

$$f(x) = -2(x-3)^2 + 5$$

Answer

$$f(x) = -2(x+3)^2 + 5$$

Answer

$$f(x) = 2(x-3)^2 + 5$$

Answer

$$f(x) = 2(x+3)^2 - 5$$

Answer

$$f(x) = -2(x-3)^2 - 5$$

Question 12

What is the y-intercept of the function $$g(x) = 4x^2 - 3x + 7$$ ?

Accepted Answer

$$(0, 7)$$

Answer

$$(0, 3)$$

Answer

$$(0, -7)$$

Answer

$$(0, -3)$$

Answer

$$(0, 4)$$

Question 13

What is the vertex of the quadratic function $$y = 2x^2 - 8x + 6$$ ?

Accepted Answer

$$(2, -2)$$

Answer

$$(-2, -2)$$

Answer

$$(-2, 2)$$

Answer

$$(2, 2)$$

Answer

$$(0, 6)$$

Question 14

Which of the following functions has a minimum value at $$x = -1$$ ?

Accepted Answer

$$f(x) = 3(x+1)^2 + 4$$

Answer

$$f(x) = -3(x+1)^2 - 4$$

Answer

$$f(x) = 3(x-1)^2 - 4$$

Answer

$$f(x) = -3(x-1)^2 + 4$$

Answer

$$f(x) = 3(x+1)^2 - 4$$

Question 15

What is the factored form of the quadratic expression $$x^2 + 6x + 9$$ ?

Accepted Answer

$$(x+3)(x+3)$$

Answer

$$(x-3)(x-3)$$

Answer

$$(x+6)(x+1)$$

Answer

$$(x+3)(x-3)$$

Answer

$$(x-3)(x+3)$$

Question 16

What is the factored form of the expression $$4x^2 - 9$$ ?

Accepted Answer

$$(2x-3)(2x+3)$$

Answer

$$(2x+3)(2x+3)$$

Answer

$$(4x-3)(4x+3)$$

Answer

$$(4x-3)(4x-3)$$

Answer

$$(2x-3)(2x-3)$$

Question 17

Which of the following functions is equivalent to $$f(x) = x^2 - 6x + 8$$ ?

Accepted Answer

$$g(x) = (x-3)^2 - 1$$

Answer

$$g(x) = (x+3)^2 - 1$$

Answer

$$g(x) = (x-3)^2 + 1$$

Answer

$$g(x) = (x+3)^2 + 1$$

Answer

$$g(x) = (x-3)^2 - 9$$

Question 18

What is the vertex of the quadratic function $$y = x^2 + 4x + 4$$ ?

Accepted Answer

$$(-2, 0)$$

Answer

$$(-2, -4)$$

Answer

$$(2, 0)$$

Answer

$$(2, 4)$$

Answer

$$(0, 4)$$

Question 19

What is the vertex form of the quadratic function $$y = x^2 - 6x + 9$$ ?

Accepted Answer

$$y = (x-3)^2$$

Answer

$$y = (x+3)^2 - 9$$

Answer

$$y = (x-3)^2 - 9$$

Answer

$$y = (x+3)^2$$

Answer

$$y = (x-3)^2 + 9$$

Question 20

Which of the following functions has a minimum value at $$x = 2$$ ?

Accepted Answer

$$f(x) = 3(x-2)^2 + 1$$

Answer

$$f(x) = 3(x+2)^2 - 1$$

Answer

$$f(x) = -3(x-2)^2 + 1$$

Answer

$$f(x) = 3(x-2)^2 - 1$$

Answer

$$f(x) = -3(x+2)^2 - 1$$

Question 21

What is the factored form of the expression $$x^2 - 10x + 25$$ ?

Accepted Answer

$$(x-5)(x-5)$$

Answer

$$(x-10)(x+25)$$

Answer

$$(x-5)(x+5)$$

Answer

$$(x+5)(x+5)$$

Answer

$$(x+10)(x-25)$$

Question 22

Which statements are not true about the parabola?

Accepted Answer

The graph has an vertex at (-4, -3)

Accepted Answer

The graph has a maximum value of -3

Accepted Answer

The graph has an axis of symmetry of y=-3

Answer

The graph has a y-intercept at (0, 5)

Answer

The graph has a zero at (-1, 0)

Question 23

Which of the following is not true about the parabola shown?

Accepted Answer

the vertex is (1,3)

Answer

no roots

Answer

the y-intercept is (0,7)

Answer

x is all real numbers

Question 24

Which statements are TRUE about the parabola?

Accepted Answer

The graph has a y-intercept at (0, 5)

Accepted Answer

The graph has a zero at (-5,0)

Accepted Answer

The graph has a zero at (-1, 0)

Answer

The RANGE is all numbers greater than -4

Answer

The graph has an axis of symmetry of y=-3

Question 25

Which of the following is not true about the parabola shown?

Accepted Answer

the y-intercept is (7,0)

Answer

no roots

Answer

the vertex is (3,1)

Answer

x is all real numbers

Question 26

A toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height, $$h$$ , after, $$t$$ , seconds is given by the equation, $$18t^2+135t+9=2t^2+7t+9$$ . A jet white trail, or contrail intersects the path the toy rocket was launched.

What is(are) the solution(s) to the equation?

Accepted Answer

$$x=0$$ and $$x=8$$ only

Answer

$$x=0$$ only

Answer

$$x=8$$ only

Answer

$$x=0$$ and $$x=-8$$ only

Question 27

Which of the following functions has a maximum value at $$x = -2$$ ?

Accepted Answer

$$f(x) = -3(x+2)^2 + 7$$

Answer

$$f(x) = 3(x+2)^2 - 7$$

Answer

$$f(x) = 3(x-2)^2 + 7$$

Answer

$$f(x) = -3(x-2)^2 - 7$$

Answer

$$f(x) = -3(x-2)^2 + 7$$

Question 28

What is the vertex form of the quadratic function $$y = x^2 + 2x - 8$$ ?

Accepted Answer

$$y = (x+1)^2 - 9$$

Answer

$$y = (x-1)^2 - 9$$

Answer

$$y = (x+1)^2 + 8$$

Answer

$$y = (x-1)^2 - 8$$

Answer

$$y = (x+1)^2 - 8$$

Question 29

What is the vertex form of the quadratic function $$y = 2x^2 + 8x + 6$$ ?

Accepted Answer

$$y = 2(x+2)^2 + 2$$

Answer

$$y = 2(x+2)^2 + 6$$

Answer

$$y = 2(x-2)^2 - 6$$

Answer

$$y = 2(x+2)^2 - 2$$

Answer

$$y = 2(x-2)^2 + 6$$

Understanding Quadratic Functions Quiz

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics