Quadratic Function and Transformation

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• downward

• upward

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

Mathematical Equivalence

ON

• compress

• stretch

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

Identify the minimum and the domain of the function y = -2(x+1)² + 4

• Max: 4, Domain: All Real Numbers

• Min: -4, Domain: All Real Numbers

• Max: 2, Domain: All real numbers when x is greater than 4

• Min: -2, Domain: All real numbers when x is less than 4

Does the function y = (x+2)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

What is the range of f(x) = 2(x+3)² + 1?

• y ≥ 3

• y ≥ 1

• y ≤ 3

• y ≤ 1

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