Quiz about Standard Form Parabolas

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

Does this parabola have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 3

Find the axis of symmetry for
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 4

What is the y-intercept?
f(x) = -2x² + 4x - 6

Accepted Answer

(0, -6)

Answer

(0, 6)

Answer

(6, 0)

Answer

(-6, 0)

Question 5

Determine the vertex of the parabola:
y = 5x²- 20x + 13

Accepted Answer

(2, -7)

Answer

(5, -7)

Answer

(-2, -7)

Answer

(-7, -2)

Question 6

Find the Vertex:
y = x² + 6x + 2

Accepted Answer

(-3,-7)

Answer

(1,6)

Answer

(6,2)

Answer

No Real Solution

Question 7

What is the name of this form:
y = ax² + bx + c

Accepted Answer

standard form

Answer

vertex form

Answer

factored form

Answer

zero form

Question 8

What do you need to do to find the vertex of a parabola?

Accepted Answer

find the axis of symmetry and substitute into equation to find y-value

Answer

find the axis of symmetry

Question 9

The line of symmetry for this parabola is...

Accepted Answer

x = 0

Answer

y = 0

Answer

x = 1

Answer

y = 1

Question 10

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

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 11

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

Accepted Answer

-b/2a

Answer

-a

Answer

-b/a

Answer

b/2a

Question 12

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

Accepted Answer

x = -3

Answer

y = -2

Answer

x = 3

Answer

y = 2

Question 13

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 14

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 15

What is the vertex?
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 16

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 17

Which equation matches the graph? (Hint, use the y-intercept and "a" value)

Accepted Answer

y = x² - 2x + 3

Answer

y = x² - 2x - 3

Answer

y = -x² - 2x + 3

Answer

y = 2x² - 2x + 3

Question 18

In the standard form for quadratics, what do we need to be negative in order for the graph to open downwards?

Accepted Answer

a

Answer

b

Answer

c

Answer

x

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