Quiz about Standard and Vertex Forms

Question 1

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 2

Convert the equation y= x²-2x-5 into vertex form.

Accepted Answer

y= (x-1)²-6

Answer

y= -(x-1)²-6

Answer

y= (x+1)²-6

Answer

y= -(x+6)²-1

Question 3

Which of the following equations is in vertex form?

Accepted Answer

f(x) = (x - 1)² + 2

Answer

f(x) = x² + 6x - 2

Question 4

Convert the equation
x²-12x+40
into vertex form

Accepted Answer

(x-6)2+4

Answer

(x+6)2-4

Answer

(x+6)2+4

Answer

(x-6)2-4

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

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

Accepted Answer

Vertex Form

Answer

Standard Form

Answer

Intercept Form

Question 7

The graph of a quadratic function is called a

Accepted Answer

Parabola

Answer

Vertex

Answer

Axis of Symmetry

Answer

Vertex Form

Question 8

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 9

The parabola y = x² - 2x + 4 will

Accepted Answer

open up

Answer

open down

Question 10

The parabola y = x² - 2x + 4 will have an x-coordinate of

Accepted Answer

x = 1

Answer

x = -2

Answer

x = -1

Answer

x = 2

Question 11

The parabola y = x² - 2x + 4 will have a vertex of

Accepted Answer

(1, 3)

Answer

(-1, 2)

Answer

(1, 2)

Answer

(-1, 3)

Question 12

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 13

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 14

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

Standard and Vertex Forms

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