Quadratic Function Standard Form and Vertex Form

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

Multiply and Simplify (3x + 5)²

• 9x² + 25
• 9x² +16x + 10
• 9x² +30x + 25
• 9x² +30x + 10

Tags

CCSS.HSA.APR.C.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

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)
• (-6 , 0)
• (0, -6)
• (0 , 6)

Tags

CCSS.HSF-IF.C.7A

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

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)

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