SOLUTION: Consider the following graph of y = f(x). a) If h(x) = f(x) � 3, what would the new coordinates of P be after the shift? Give answer in (x, y) form.

Question 131660: Consider the following graph of y = f(x).

a) If h(x) = f(x) � 3, what would the new coordinates of P be after the shift? Give answer in (x, y) form.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You don't show the graph, nor do you give the original coordinates of P. So I'll tell you the general answer and you will have to figure out the specifics for yourself.

For any function f, f(x) is the value of the function at f, and the graph of f consists of a set of ordered pairs of the form (x,f(x)), where x is any value in the domain of f.

So your h(x) = f(x) - 3 can be read as "the value of the function h, at any x in the domain of f and h, is equal to the value of f at that same value of x, minus 3."

If P(x,y) is a point on the graph of f, then P(x,y-3) is a point on the graph of h.
RELATED QUESTIONS
Consider the following graph of y = f(x). NOTE: P is 1 on the x-axis a)If h(x) = f(x)... (answered by stanbon)

Consider the following graph of y = f(x). a) If h(x) = f(x) + 2, what would the (answered by Feliz)

Consider the following graph y=f(x) the graph shows a squirrly line with (y)P being -1... (answered by oscargut)

Consider the following graph of y = f(x). If h(x) = f(x) + 2, what would the new... (answered by Nate)

Could you please help solve for the following. I am so confused I h(x)= f(x)+2, what... (answered by stanbon)

Here's my question...if the graph of the equation y=f(x), where the vertex of the... (answered by stanbon)

If h(x) = f(x) + 3, what would the new coordinates of P be after the shift? Give answer... (answered by vleith)

If h(x) = f(x) � 3, what would the new coordinates of P be after the shift? Give answer... (answered by stanbon)

How would I answer these problems I am really stuck. Any help would be greatly... (answered by stanbon)