1.4 Parent Functions

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which parent function matches the graph?

• f(x) = x
• f(x)= x²
• f(x) = |x|
• f(x) = ab^x

Which parent function matches the graph?

• f(x) = x
• f(x)= x²
• f(x) = |x|
• f(x) = ab^x

g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated up 6.
• f(x) has been translated down 6.

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 3.
• f(x) has been translated to the left 3.

g(x)=f(x+5)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left 5.
• f(x) has been translated to the right 5.

How did the equation shift from the parent function? y=x+2

• up 2
• down 2
• steeper
• flipped