Reflections Functions

Compare the function (red) to the parent function (black).

• Vertical Stretch

• Vertical Compression

• Reflection over the x-axis

Compare the function (red) to the parent function black.

• Vertical Stretch

• Vertical Compression

• Reflection over the x-axis

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

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

The dashed function is the graph of f and the solid function is the graph of g . Express g in terms of f .

The function f is reflected over the y-axis and then translated 3 units up.  Write and equation in terms of f for a function g that has the graph that you drew.

Tags

CCSS.HSF.BF.B.3

Write a function, g, whos graph represents the reflection over the x-axis of f(x) = |x - 10| + 7

• g(x) = |x - 10| - 7

• g(x) = - |x - 10| - 7

• g(x) = |x + 10| - 7

• g(x) = |x + 10| + 7

Write a function, g, whos graph represents the reflection over the x-axis of f(x) = |3x| - 4

• g(x) = - |3x| + 4

• g(x) = - |3x| - 4

• g(x) = |3x| + 4

• g(x) = |3x| - 4

Write a function, g, whos graph represents the reflection over the y-axis of f(x) = -7x + 4

• g(x) = 7x + 4

• g(x) = 7x - 4

• g(x) = - 7x + 4

• g(x) = - 7x - 4

Write an equation of the function, g, whose graph is the reflection over the y-axis of f(x).

What is the equation, g, of the graph that is the reflection over the x-axis of f(x)?