Transformations of Quadratic Functions

Front

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

Back

a horizontal translation 4 units to the left

Front

How did we transform from f(x) =x² to g(x) = -3x²?

Back

reflection x-axis and vertical stretch

Front

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

Back

reflection, vertical compression, horizontal right, vertical up

Front

Description: moves down 3

Back

Equation: C

Front

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

Back

Vertical stretch by 5

Front

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Back

down 5

Front

Does the graph of this equation open up or down? f(x) = -(x + 3)^2 - 5

Back

down

Front

Which quadratic function is represented by the graph? Options: y = 2(x - 4)² + 5, y = 2(x + 4)² + 5, y = -2(x - 4)² + 5, y = -2(x + 4)² + 5

Back

y = -2(x + 4)² + 5

Front

Description: moves down 3

Back

Equation: C

Front

Description: Stretches by a factor of 3
Options: A, B, C, D

Back

A