Algebra 2 - Overall Final Exam Review

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c
• Then the blue curve is f(x) = (x+c)²
• Then the blue curve is f(x) = (x-c)²
• Then the blue curve is f(x) = x² + c

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

Tags

CCSS.HSF.BF.B.3

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

• (2,-4)
• (-2,4)
• (8,4)
• (-2,-8)

Tags

CCSS.7.EE.A.1

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

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)
• (-1, 5)
• (1, 5)
• (1, -5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

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

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)

Tags

CCSS.HSF-IF.C.7A