SOLUTION: Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7. Horizontal shift________ Reflections___

SOLUTION: Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7. Horizontal shift____ Reflections

Question 1139249: Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7.
Horizontal shift________
Reflections_________
Vertical shift_________
Stretch/shrink____________
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I will presume you mean . It's more interesting than

Even (especially?) when writing the expression in words, appropriate use of parentheses is important.

Replacing x with x-3 produces a horizontal shift of +3. ( when x=0; when x=3).

ANSWER A: Horizontal shift: +3

Replacing the square root with -square root reflects the graph over the x-axis; there is no vertical stretch.

ANSWER B: Reflections: x-axis

The +7 at the end of the expression produces a vertical shift of +7.

ANSWER C: Vertical shift: +7

For stretch/shrink, I will guess you mean horizontally. There is no horizontal stretch or shrink; that would happen if, for example, x were replaced with 3x, or with x/4.

ANSWER D: (horizontal) stretch/shrink: none
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SOLUTION: Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7. Horizontal shift________ Reflections____

SOLUTION: Describe the transformation performed on f(x)=square root of x that would produce the graph of the function g(x)=-square toot of x-3+7. Horizontal shift____ Reflections