Graphing Parabolas in Vertex Form

What is the basic equation for a standard parabola?

• y = x^3

• y = 2x

• y = x^2

• y = x

Which of the following x-values is NOT typically used to create a table of values for y = x^2?

• 3

• 0

• -2

• 1

In the vertex form y = (x - h)^2 + k, what do the h and k represent?

• The vertex coordinates

• The slope and y-intercept

• The axis of symmetry and focus

• The x-intercept and y-intercept

If the vertex form of a parabola is y = (x - 3)^2 + 4, where is the vertex located?

• (3, 4)

• (-3, 4)

• (-3, -4)

• (3, -4)

How would you rewrite y = x^2 - 3 in vertex form?

• y = (x - 3)^2

• y = (x + 3)^2 - 3

• y = (x - 3)^2 + 3

• y = (x - 0)^2 - 3

For the equation y = (x + 2)^2, what is the vertex?

• (2, 0)

• (-2, 0)

• (0, 2)

• (0, -2)

What does a negative sign in front of the x^2 term indicate about the parabola?

• It shifts the parabola to the right

• It shifts the parabola to the left

• It flips the parabola upside down

• It makes the parabola wider

In the equation y = -x^2 + 2, where is the vertex located?

• (0, 2)

• (-2, 0)

• (2, 0)

• (0, -2)

What effect does the coefficient 2 have in the equation y = 2x^2?

• It shifts the parabola to the left

• It shifts the parabola to the right

• It makes the parabola narrower

• It makes the parabola wider

For the equation y = 2(x + 1)^2 - 6, where is the vertex located?

• (1, 6)

• (-1, -6)

• (1, -6)

• (-1, 6)