Quiz about Find Vertex of Quadratic

Question 1

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 2

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

Accepted Answer

Maximum

Answer

Minimum

Question 3

The axis of symmetry line passes through which point?

Accepted Answer

vertex

Answer

y-intercept

Answer

any random point

Answer

symmetrical point for the vertex

Question 4

What is the equation of this graph?

Accepted Answer

f(x) = (x - 1)² - 5

Answer

f(x) = (x -5)² + 1

Answer

f(x) = (x + 1)² - 5

Answer

f(x) = (x + 5)² +1

Question 5

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 6

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

Question 7

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 8

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 9

Which equation has a vertex of (-3, 4)?

Accepted Answer

y = 2(x+3)²+ 4

Answer

y = (x+3)² - 4

Answer

y = (x-3)² + 4

Answer

y = 2(x - 3)² + 4

Question 10

What is the axis of symmetry of the given function?

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 11

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 12

What is the vertex of the parabola: y=2(x-3)²+4

Accepted Answer

(3,4)

Answer

(-3,4)

Answer

(3, -4)

Answer

(-3,-4)

Question 13

Write y = x² + 4x - 1 in vertex form.

Accepted Answer

y = (x + 2)² - 5

Answer

y = (x - 2)² + 5

Answer

y = (x + 2)² - 1

Answer

y = (x +2)² + 3

Question 14

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 15

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

Accepted Answer

(0 , 6)

Answer

(6 , 0)

Answer

(-6 , 0)

Answer

(0, -6)

Question 16

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 17

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = (x + 2)² - 1

Answer

f(x) = (x - 2)² - 1

Answer

f(x) = -(x + 2)² - 1

Answer

f(x) = -(x - 2)² - 1

Question 18

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 19

Convert to vertex form.

Accepted Answer

y=3(x+1)² - 8

Answer

y=3(x-1)² - 8

Answer

y=3(x+2)² - 8

Answer

y=3(x-2)² - 8

Question 20

Fill in the blank: When we convert from standard to vertex form, the a value will ____________.

Accepted Answer

Stay the same

Answer

Be the same but negative

Answer

Become the vertex

Answer

Be squared

Question 21

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 22

Convert the equation y= 8x²-16x+27 into vertex form.

Accepted Answer

y=8(x-1)²+19

Answer

y=8(x+1)²+19

Answer

y= -8(x-1)²+19

Answer

y=(x-1)²+8

Question 23

Convert the equation y= 5x²-40x+67 into vertex form.

Accepted Answer

y=5(x-4)²-13

Answer

y= -5(x+4)²+13

Answer

y= 5(x+4)²-13

Answer

y= 5(x-13)²+4

Question 24

Convert the equation y= -3x²+24x-41 into vertex form.

Accepted Answer

y= -3(x-4)²+7

Answer

y= 4(x-3)²+7

Answer

y= -3(x+7)²+4

Answer

y= 3(x+4)²+7

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