Question

PLEASE HELP WITH THIS I HAVE NO IDEA HOW TO SOLVE!!!!

PLEASE DON"T IGNORE THIS ONE
PLEASE HELLLP

consider the following graph of a quadratic function. Write the euqation for the quadratic function in standard form.

The graphs y-intercept is 7 and vertex is (-3,-2)

Answer 1

Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2

You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1

The equation you seek is
.. y = x^2 +6x +7