Graphing linear functions

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed second?

• Less steep by 2
• Vertical shift up 4
• Vertical shift down 4
• Steeper by 2

Write a new function after the given transformation from function f.

f(x) = 4x − 5

translation 3 units up

Mathematical Equivalence

ON

Describe the transformation from the parent function f(x) = x if the function is changed to h(x) = 3x + 5.

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• less steep; Shift up 5 units

• less steep; Shift down 5 units

What would be the equation of g(x)=x+3 if it has a vertical shift of 3 downwards?

• h(x)=x + 7

• h(x)=-2x

• h(x)=x

• h(x)=6x

The BLUE GRAPH is shifted _________ from the RED GRAPH.

• Up

• Down

• Cannot be determined

The graphs of linear functions of f and g (blue line) are show on the grid. Which function is best represented by the graph of g?

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation?

• g(x) is shifted up 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

• g(x) is shifted down 6 units

What transformations have occurred :

 $y=-2x+5$  

• Reflected over x-axis

• Reflected over y-axis

• Shifted Up 5

• Shifted Down 5

• Vertical Stretch by 2

How did the equation shift from the parent function? y = -3f(x) + 5

• Reflection over x-axis, steeper, up 5
• Reflection over y-axis
• Steeper, down 5
• Moved right

What was done to f(x) to create g(x)?