SOLUTION: Consider h(x)=3x²+9x-4. Identify its vertex and y-intercept

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Consider h(x)=3x²+9x-4. Identify its vertex and y-intercept      Log On


   

Question 920453: Consider h(x)=3x²+9x-4. Identify its vertex and y-intercept
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form by completing the square.
h%28x%29=3x%5E2%2B9x-4
h%28x%29=3%28x%5E2%2B3x%29-4
h%28x%29=3%28x%5E2%2B3x%2B9%2F4%29-4-3%289%2F4%29
h%28x%29=3%28x%2B3%2F2%29%5E2-16%2F4-27%2F4
h%28x%29=3%28x%2B3%2F2%29%5E2-43%2F4
The vertex is (-3/2,-43/4).
The y-intercept is (0,-4)