Algebra 2 3.1 - 3.2 Review

Front

What is the transformation represented by g(x) = -f(x) for f(x) = x?

Back

Reflection across the x-axis.

Front

Given f(x) = (-4, 5), what is the result of 2f(x + 3)?

Back

(-7, 10)

Front

Which parent function corresponds to the graph of f(x) = |x|?

Back

f(x) = |x|

Front

Given f(x) = (-4, 5), what is the result of -f(x - 5)?

Back

(1, -5)

Front

Given f(x) = (-4, 5), what is the result of 2f(x)?

Back

(-4, 10)

Front

What does a reflection across the y-axis do to the function f(x)?

Back

It changes the sign of the x-values.

Front

What is the effect of multiplying a function by a negative number?

Back

It reflects the graph across the x-axis.

Front

What is the effect of adding a constant to the input of a function, such as f(x + c)?

Back

It shifts the graph to the left by c units.

Front

What is the effect of multiplying the output of a function by a constant, such as 2f(x)?

Back

It stretches the graph vertically by a factor of 2.

Front

What is the parent function of a quadratic equation?

Back

f(x) = x^2