SOLUTION: Thank you in advance for helping me with this. f(x)= {{{2x^2+3x-1}}} I need to graph this quadratic funtion by completing the square. I figured out the vertix as -17/8,-3/4 I

Question 175375This question is from textbook college algebras
: Thank you in advance for helping me with this.
f(x)= I need to graph this quadratic funtion by completing the square. I figured out the vertix as -17/8,-3/4 I am stuck on figuring out the two other points. I need help, thank you This question is from textbook college algebras

Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
First, let's complete the square.
f(x) = =
=
=
=
This tells us that the vertex of the parabola is (-3/4, -17/8), which is backwards from what you stated in the problem. When you say that you are stuck figuring out the other two points, I assume you are referencing the x and y intercepts. The y intercept is obtained by setting x to 0 in the original problem. So f(0) = -1 means the y intercept is (0, -1). In order to find the x intercepts, you set y = 0, and this is easier using the form above (found by completing the square).
So
0 =
17/8 =
17/16 =

So , which gives you your two x intercepts. Hope this helps!
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