M1M8 Translation Form of Linear Equations

How did the equation shift from the parent function f(x) if g(x) = f(x + 7)?

• Vertical Translation Up 7

• Vertical Translation Down 7

• Horizontal Translation Left 7

• Horizontal Translation Right 7

Which transformation will occur if g(x) = f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if g(x) = f(x) - 9?

• Translation left 9 units

• Translation right 9 units

• Vertical translation up by 9 units.

• Vertical translation down by 9 units.

How did the equation shift from the parent function? g(x) = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

The graph of f(x) is pictured. Graph g(x)=f(x-2)-1

The graph of f(x) is pictured. Graph the line that result from a shift down 2 and right 3.

The graph of f(x) is picture. Graph the line g(x)=f(x)-2

Given f(x) = 3x+1, write the equation for y if

y = f(x) + 2

Mathematical Equivalence

ON

Given f(x) = -5x-2, write the Point-Slope Form of equation for y if

y=f(x-2)+1

Mathematical Equivalence

ON