Linear Function Parent

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

Which parent function is this?

• Quadratic

• Cubic

• Linear

• Rational

Compare each of the following statements to the linear parent function, f(x)=x. Then, match each description to an equation.

• y=0.5x

• The graph is less steep.

• y=x+2

• The graph moved down.

• y=2x

• The graph moved up.

• y=x-2

• The graph stayed exactly the same.

• y=x

• The graph is more steep.

What is the Linear Parent Function?​ (a)  

• y = x

• Linear has no parents

Which parent function matches the graph? 

• f(x) = x

• f(x) = x²

• f(x) =√(x)

• f(x) =∛(x)

What is the equation of the linear parent function?