Practice With Standard, Vertex, and Factored Form

Match each form with the constants that appear in its general form.

• a, h, and k

• Vertex Form

• a, p, and q

• Intercept Form

• a, b, and c

• Standard Form

This is the standard form of a quadratic function:

f ( x ) = ax² + bx + c

• True

• False

What is the standard form of a quadratic function?

• y = a(x + h)² + k

• y = a(x − h)² + k

• y = a(x + h)² - k

• y = ax² + bx + c

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

• 
• 
• 
• 

Write the equation for a parabola that has the x-intercepts of x=2 and x=4 and goes through the point (0, -4).

Choose the correct form of the following quadratic function:

• Standard

• Factored

• Vertex

• Linear

Turn the following quadratic function from standard form into factored form:

y = x² - 10x + 25

• y= (x + 5) (x - 5)

• y = (x - 15) (x + 10)

• y = (x + 5) (x - 20)

• y = (x - 5) (x - 5)

Convert
 f(x) = 3(x - 5)² - 1 
to standard form.

• f(x) = 3x² -30x + 74

• f(x) = 3x² -10x + 24

• f(x) = 3x² -30x + 24

• f(x) = 3x² -30x + 75

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

• y = 2x² - 4x + 4

• y = -2x² + 4x - 4

• y = -2x² - 4x + 4

• y = 2x² + 4x - 4

Turn the following quadratic function from standard form into factored form:

y = x² -16x + 48

• y = (x - 12)(x - 4)

• y = (x + 6)(x - 8)

• y = (x + 12)(x - 4)

• y = (x -16)(x - 3)