Free Printable finding vertex, intercepts, axis of symmetry, max and min of

1.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

2.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

3.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

4.

Find the axis of symmetry for $y=x^2-8x+15$

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

5.

Find the vertex for $y=x^2-8x+15$

a)

(-4, 63)

b)

(-4, 31)

c)

(4, -1)

d)

(4, -31)

6.

Find the vertex of $y=3x^2-6x+4$

a)

$\left(1,\ 1\right)$

b)

$\left(1,\ 7\right)$

c)

$\left(2,\ 4\right)$

d)

$\left(-2,\ 28\right)$

7.

Find the axis of symmetry of
$y=x^2-2x-5$

a)

$x=2$

b)

$x=-2$

c)

$x=1$

d)

$x=-1$

8.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

9.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

10.

What is the equation of the green dashed line?

a)

x = -2

b)

x= -3

c)

axis of symmetry

d)

x = -2 1/2

11.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

12.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

13.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

14.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

15.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

16.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

17.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

18.

In factored form you can see the ______ of the graph easily.

a)

y-intercept

b)

vertex

c)

x-intercepts

19.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

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

c)

$y=mx+b$

d)

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

20.

The axis of symmetry is a line that goes through the...

a)

y-intercept

b)

any random point

c)

vertex

d)

x-axis or y-axis

21.

How many roots (Intercepts) does this parabola have?

a)

3

b)

2

c)

0

d)

1

finding vertex, intercepts, axis of symmetry, max and min of

Total questions: 21

Worksheet time: 2hrs 46mins

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