Problem

(2) find the vertex of the parabola \( f(x)=2 x^{2}+7 x+6 \)

Answer

Expert–verified
Hide Steps
Answer

Vertex = \(-\frac{7}{4}, y_{vertex}\)

Steps

Step 1 ：\(f(x) = 2x^{2} + 7x + 6\)

Step 2 ：\(x_{vertex} = -\frac{b}{2a} = -\frac{7}{2\times2} = -\frac{7}{4}\)

Step 3 ：\(y_{vertex} = f(-\frac{7}{4}) = 2(-\frac{7}{4})^{2} + 7(-\frac{7}{4}) + 6\)

Step 4 ：Vertex = \(-\frac{7}{4}, y_{vertex}\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More