Quadratic Functions

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)

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

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

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Which is the parent function of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5
• y = (x + 2)² - 5
• y = (x + 2)² - 1
• y = (x +2)² + 3

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

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 shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34