Quadratic Functions

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

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

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

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

What is the vertex of the quadratic equation
y = 7x² - 70x + 176

• (5, 1)

• (1, 5)

• (-5, -1)

• (-1, -5)

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

Rewrite into vertex form: g(x)=-2x²-4x-6

• g(x)=-2(x+1)²-4

• g(x)=-2(x-1)²-4

• g(x)=-2(x-1)²-12

• g(x)=-2(x+1)²-12

Convert the following equation from standard form to vertex form.
y=1/4x²+5x-23

• y=1/4(x+2)²-10

• y=3/5(x-10)²+2

• y=1/4(x-8)²+1

• y=-1/4(x-10)²+2

What is the vertex for y = -4x² - 32x - 59

• (-4, 5)

• (5, -4)

• (5, 4)

• (-4, -5)