Transformations Y=X

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 down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Billy graphed f(x)=x and h(x)=f(x)+5 on Desmos. Which statement best describes the graph of f and h?

• The graph of f is steeper than the graph of h.

• The graph of f is less steep than the graph of h.

• The graph of f is shifted 5 units up to create the graph of h.

• The graph of f is shifted 5 units down to create the graph of h.

• y = -x + 2
• y = x + 2
• y = -x - 2
• y = x - 2

Select the rule for reflecting over the the line y=x.

• (x,y)-->(-x,y)

• (x,y)-->(x,-y)

• (x,y)-->(-x,-y)

• (x,y)-->(y,x)

Reflection over y=X

• y,x

• -y,-x

• -x,-y

• x,y

If you are performing a reflection in the line y=x, the rule is ...

• (x, y)

• (-x, y)

• (x, -y)

• (y, x)

The vertices of a triangle are P(-3,7), Q(-2,1), and R(-5,2). What are the coordinates when it is reflected over the line y=x?

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x