Transformations of Quadratic Functions

When you subtract a number from the parent function, what happens to the graph?

EX: f(x) = x² - 5

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

Tags

CCSS.HSF.BF.B.3

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units
• Graph moves to the RIGHT 3 units
• Graph moves DOWN 3 units
• Graph moves to the LEFT 3 units

Which way does the graph move if the equation looks like y = (x + 4)² ?

• Graph moves UP 4 units
• Graph moves to the RIGHT 4 units
• Graph moves DOWN 4 units
• Graph moves to the LEFT 4 units

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units
• The graph translated right 3 units and down 5 units
• The graph translated left 5 units and down 3 units
• The graph translated left 3 units and up 5 units

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

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

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

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units
• Vertical shift down 8 units
• Horizontal shift right 8 units
• Horizontal shift left 8 units

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.
• Reflection across the x-axis.

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right