Quadratic Review

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

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

Does the function y = -1/2(x+1)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

What is the range of f(x) = -9(x-4)² + 3

• y ≤ 3

• y ≤ - 9

• y ≥ 3

• y ≥ -4