M2A Graph Shifts Day 1

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

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

How did we transform from the parent function?
y = x² + 2

• right 2

• up 2

• down 2

• left 2

Given f(x) = x² - 4 , how did we transform from the parent function?

• up 4

• right 4

• left 4

• down 4

If the blue is f(x)=x^2, then the red must be

(Start at blue and shift to red)

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

What is the vertex of this equation?

y = (x + 4)² -6

Pay attention to negative signs!

vertex: (-h,k)

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)