### Home > INT3 > Chapter 7 > Lesson 7.2.1 > Problem 7-61

7-61.

For each function, determine the

*x*‑ and*y*‑intercepts and the locator point (*h*,*k*). If you have not already done so, write the equations in graphing form. Homework Help ✎*y*= 7 + 2*x*^{2}+ 4*x*– 5*x*^{2}= 2*x*+*x*(2*x*– 4) +*y*

*y*-intercept: *y* = 7 + 2(0)^{2} + 4(0) − 5

*x*-intercept: 0 = 7 + 2*x*^{2} + 4*x* − 5

Since there is only one *x*-intercept, the vertex must be at the *x*-intercept.

*y*-intercept: (0, 2)*x*-intercept: (−1, 0)

vertex: (−1, 0)*y* = 2(*x* + 1)^{2}

Start by determining the *x*- and *y*-intercepts.

To find the *x*-coordinate of the vertex, average the *x*-intercepts.

To find the *y*-coordinate of the vertex, substitute the *x*-coordinate of the vertex into the given equation and solve for *y*.

Now write the equation in graphing form.