Free Printable Quadratic functions quiz

1.

The standard form of a quadratic equation is:

a)

a. y = mx + b

b)

b. Ax + By = C

c)

$c.\ y\ =\ ax^2+\ bx\ +\ c$

d)

$d.\ \ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

2.

The a value in the standard form quadratic form of an equation tells if the parabola

a)

a. Opens to the left

b)

b. Opens upward or downward

c)

c. Opens to the right

d)

d. The a value does not give any information

3.

The equation to find the axis of symmetry when an equation in standard form is written in standard form is:

a)

$a.\ \ \ x\ =\ \frac{-b}{2a}$

b)

b. y = mx + b

c)

$c.\ \ y\ =\ a\ \left(x\ -\ h\right)^2\ +\ k$

d)

$d.\ \ a_n\ +\ d\ \left(n\ -\ 1\right)$

4.

The vertex form of a quadratic function is:

a)

$a.\ \ y\ =\ ax^2+bx\ +c$

b)

$b.\ \ y=mx\ +\ b$

c)

$c.\ \ x\ =\ \frac{-b\ }{2a}$

d)

$d.\ \ y\ =\ a\left(x\ -\ h\right)^2+\ k$

5.

Write the ordered pair for the vertex form of an equation:

a)

a. (k , x)

b)

b. (h , x)

c)

c. (h , k)

d)

d. (k , h)

6.

In the equation: y = a (x - h)² + K, state the direction of h and k^.

a)

a.

+h shifts right

-h shifts left

+ k shifts up

-k shifts down

b)

b.

+h shifts left

-h shifts right

+ k shifts up

-k shifts down

c)

c.

+h shifts left

-h shifts right

+ k shifts down

-k shifts up

d)

d.

+h shifts right

-h shifts left

+ k shifts down

-k shifts up

7.

The vertex of a parabola is written as an ordered pair (x, y), state what the x and y represents as it pertains to the parabola.

a)

a.

X is the Minimum

Y is the Maximum

b)

b.

X is the Minimum or Maximum

Y is the Axis of Symmetry

c)

c.

X is the Axis of Symmetry

Y is the Minimum

d)

d.

X is the Axis of Symmetry

Y is the Minimum or Maximum

8.

When given the equation: y = ax² + bx + c, state what the a and c value tells us about the parabola.

a)

a.

+ a parabola opens up

- a parabola opens down

c is the y-intercept found on the y-axis

b)

b.

+ a parabola opens down

- a parabola opens up

c is the y-intercept found on the x-axis

c)

c.

+ a parabola opens up

- a parabola opens down

c is the y-intercept found on the x-axis

d)

d.

+ a parabola opens down

- a parabola opens up

c is the y-intercept found on the y-axis

9.

State when a parabola has a minimum or maximum

a)

a. If the parabola opens up like a u-shape (minimum)

If the parabola opens down like a n-shape (maximum)

b)

b. If the parabola opens up like a u-shaped (maximum)

If the parabola opens down like a n-shaped (minimum)

c)

c. A parabola does not have a minimum or maximum

d)

d. U-shaped parabola has a minimum and a maximum

n -shaped parabola has a minimum and a maximum

10.

To find the vertex of a quadratic function when the equation is written in the standard form: a x² + b x + c

a)

a. First find the y-coordinate

Then find the Axis of Symmetry by using the equation

$x\ =\frac{-b}{2a}$

Next write the ordered pair as (x , y).

b)

b. First find the Axis of Symmetry by using the equation

$x=\frac{-b}{2a}$

Then substitute the value for x to find the y-coordinate,

Next write the ordered pair as (x , y).

c)

c. The vertex cannot be found from an equation.

d)

d. Find the y-intercept and substitute the y-coordinate in the equation.

11.

The quadratic formula is:

a)

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

A.

b)

$x=\frac{-b}{2a}$

B.

c)

$\sqrt[]{b^2-4ac}$

C.

d)

$ax^2\ +bx+c$

D.

12.

To find the discriminant use the equation:

a)

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

A.

b)

$x=\frac{-b}{2a}$

B.

c)

$\sqrt[]{b^2-4ac}$

C.

d)

$ax^2\ +bx+c$

D.

13.

How does the discriminant help to determine the number of solutions to a quadratic function?

a)

$\ d=\sqrt[]{+\ \ }\ \ \ \ one\ solution$ $d\ =\ \sqrt[]{-}\ \ \ \ \ many\ solutions$ $d\ =\ \sqrt[]{0}\ \ \ \ two\ solutions$

A.

b)

$d\ =\sqrt[]{-}\ \ \ \ \ \ no\ solution$ $d\ =\ \sqrt[]{0}\ \ \ \ \ \ one\ solution$ $d\ =\ \sqrt[]{+\ }\ \ \ \ \ \ \ two\ solution$

B.

c)

The discriminant does not determine the number of solutions.

C.

d)

$\ d\ =\ \sqrt[]{0}\ \ \ \ \ no\ solution$ $d\ =\ \sqrt[]{+}\ \ \ \ \ many\ solutions$ $d\ =\ \sqrt[]{-}\ \ \ \ \ two\ solutions$

D.

14.

What is the axis of symmetry of the graph to the left?

a)

a. x = 10

b)

b. x = 6

c)

c. x = - 6

d)

d. There is no axis of symmetry

15.

Does the parabola have a solution(s)?

If so, what is/are they?

a)

a.

Yes

One Solution

x = 1

b)

b.

There are no solutions.

c)

c.

Yes

Two Solutions

x = - 1 and x = 3

d)

d.

Yes

Many Solutions

Quadratic functions quiz

Total questions: 15

Worksheet time: 15mins

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