Hi! Below is my assigment with the steps that I followed. I would like to know i

Question

Hi!

Below is my assigment with the steps that I followed. I would like to know if all this is correct.

Thank you,

Maria

Starting with the graph of the parent function f(x), what transformations are needed to obtain the graph the graph of g(x) = -1/3(1/2x+3)2 -1. Write complete sentences using vocabulary words!

Step 1.

c=3. Shift the graph of f(x)=x2 horizontally 3 units to the left to obtain the g(x)=(x+3)2graph. Subtract 3 from each x-coordinate. (x-c, y).

Step 2.

b=1/2. 0<b<1. The graph of g(x)=(x+3)2 is stretched away horizontally by a factor of 2 from the y-axis to get the graph of g(x)=(1/2x+3)2. Multiply each x-coordinate by 2. 1/b replace x with bx (x|b|,y).

Step 3.

<1. Reflect the graph of g(x) =1/3(1/2x+3)2about the x-axis to acquire the graph of g(x) = -1/3(1/2x+3)2 . Replace each y-coordinate with its opposite (x,-y).

Step 4.

d=-1. Shift the graph of g(x)=-1/3(1/2x+3)2 vertically down 1 unit to obtain the graph of g(x)=-1/3(1/2x+3)2 -1. Subtract d from each y-coordinate (x,y-d).

Explanation / Answer

Yes.

All the steps are very well written and well elaborated.

Nice work!

100% correct!

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