Question

Instructions: For the following quadratic functions in standard form, select the appropriate graph of the function.

Answer 1

Given the equation:

$y=-x²+3x+4$

notice that we can factor the right side to get the following:

$\begin{gathered} y=-x²+3x+4=-(x²-3x-4) \\ =-(x-4)(x+1) \end{gathered}$

notice that the x-intercepts are x = 4 and x = -1, therefore, the second graph represents the function y = -x²+3x+4