Task Sets: Identify transformations of graphs - Common Core Math - HS Functions

Concepts

The function $g(x) = f(x + 5)$ is a horizontal translation of $f(x)$ .
A negative number means the shift is to the left; a positive number means to the right.
What is the horizontal shift of $g(x) = f(x + 5)$ relative to $f(x)$ ?
Enter a negative number for a left shift, positive for a right shift.

Let $f(x) = x^2$ . Which statement correctly describes the graph of $3f(x)$ ?

The graph is compressed vertically; each $y$ -value is multiplied by $\tfrac{1}{3}$

The graph is stretched vertically; each $y$ -value is multiplied by $3$

The graph shifts upward by $3$ units

The graph is compressed horizontally; each $x$ -value is divided by $3$

Which of the following is an even function?

$f(x) = x^3$

$f(x) = x^3 + x$

$f(x) = x^2 + 4$

$f(x) = x^2 + x$

HSF.BF.B.3 Tutor Intake — Graph Transformations and Even/Odd Functions

Concepts

Procedures