Quadratic Functions

Which equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

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

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

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

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

What is the vertex of y=x²+4x+3?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

• f(x)=(x-4)²-2

• f(x)=-4(x-4)²-2

• f(x)=1/4(x+4)²-2

• f(x)=-1/4(x-4)²-2

Write the equation of the quadratic in standard form given the following:
axis of symmetry: x=1
Points: (2, 5) (-2, 21)

• f(x)=(x-1)²+5

• f(x)=1/2(x-1)²+3

• f(x)=2(x-1)²+3

• f(x)=2(x-1)²-3