Graphing Vertex Form

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)

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)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

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

If the red graph is the graph of  $y=x^2$  then the blue graph represent what equation?

•  $y=2x^2$  

•  $y=-2x^2$  

•  $y=0.5x^2$  

•  $y=-0.5x^2$  

• y = -(x + 1)² - 4
• y = -(x + 1)² + 4
• y = -(x - 1)² - 4
• y = (x + 1)² + 4

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A