Module 3 Practice

Convert
 f(x) = ⅔ (x + 3)² 
to standard form.

• f(x) = ⅔x² + 4x + 6
• f(x) = ⅔x² + 6x + 9
• f(x) = ⅔x² + 6
• f(x) = ⅔x² + 2x + 4

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

Convert
 f(x) = 2(x - 2)² +9
to standard form.

• f(x) = 2x² + 8x + 9
• f(x) = 2x² - 8x - 4
• f(x) = 2x² - 8x + 17
• f(x) = 2x² - 8x + 8

Convert
 f(x) = -4(x - 1)² +7
to standard form.

• f(x) = -4x² + 3
• f(x) = -4x² - 8x + 17
• f(x) = -4x² +8x - 11
• f(x) = -4x² +8x + 3

Write an equation in vertex form for a parabola with a vertex at (-2, -1) that goes through point (1, 8). Then, change your equation to standard form.

• y = x² - 4x + 4
• y = x² - 4x + 4
• y = x² + 4x + 3
• y = x²  - 4x + 3

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

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

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

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

• Standard Form
• Vertex Form
• Intercept Form

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

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

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

• Stay the same
• Be the same but negative
• Become the vertex
• Be squared