Question

Please help me. I don't understand how it is supposed to be done. I'm horrible at math and really need a good grade.

Write the equation for the transformation of the graph of y=f(x).
Use the form f(x)=a(x-h)+k

13. Translated 2 units left and 7 units down

14. Translated 5 unit right, 2 units up, and stretched by a factor of 3.

Answer 1

Explanation:

I believe you meant y = f(x) = a(x - h)^2 + k. This is the vertex form of the equation of a vertical parabola (vertex is located at (h, k) ).

We start with the simplest vertical parabola, y = x^2. This parabola has its vertex at the origin, (0, 0).

13. Translated 2 units left and 7 units down: Substitute -7 for k and -2 for h:

y - (-7) = a (x - (-2) )^2, or (in simpler form), y + 7 = a(x + 2)^2

14. Translated 5 unit right, 2 units up, and stretched by a factor of 3.

Substitute 5 for h and 2 for k, and let z = 3:

y - 2 = 3(x - 5)^2

Please leave out "I'm horrible at math" comments. Certainly you have the ability to learn this material.