Graphing Form of Quadratics

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left

• Horizontal translation: three units to the right

• Vertical translation: three units up

• Vertical translation: three units down

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

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

Tags

CCSS.HSF-IF.C.7A

Describe the translation from f(x)=(x+2)²-3  to  f(x)=(x-3)²-5

• Five units to the right, 2 units up

• Five units to the right, 2 units down

• Five units to the left, 2 units up

• Five units to the left, 2 units down

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• y = (x - 2)² - 1

• y = -(x + 2)² - 1

• y = (x + 2)² - 1

• y = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

What is the equation of the parabola?

Tags

CCSS.HSF-IF.C.7A

What are the green points called?

• axis of symmetry

• vertex

• y-intercept

• x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the equation of the parabola in vertex form

Tags

CCSS.HSF-IF.C.7A

How many solutions does the parabola have?

• none

• one

• two