Break Assignment (Optional)

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

 $y=0.5(x+4)^2+6$  
Convert the equation from vertex form to standard form
Use the ^ (shift 6) to show the power (no spaces)

Change the quadratic equation from factored form to standard form:

f(x)=2(x + 4) (x + 9)

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)

Tags

CCSS.HSF-IF.C.7A

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

• a = 1

• a = -1

• a = 7

• a = -7

Write a quadratic equation given the x intercepts and one other point.

Step 3: Write the equation in factored form.

Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.

• -(x-6)(x-8)

• -(x+6)(x+8)

• (x-6)(x+8)

• (x+6)(x-8)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Identify the solutions to

2x(x - 4)(x + 2) = 0

• x = 2, x = 4

• x = 1, x = -2, x = 4

• x = 0, x = -2, x = 4

• x = -2, x = 4

Tags

CCSS.HSF-IF.C.7C