### Home > A2C > Chapter 4 > Lesson 4.2.4 > Problem 4-121

For each equation below, find the

*x*- and*y*-intercepts and the locator point (*h*,*k*), then 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

You will need to factor. There is only one *x*-intercept.

*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. To find the equation in graphing form, use the equation *y* = *a*(*x* − *h*)^{2} +*k*.

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

vertex: (−1, 0)*y* = 2(*x* + 1)^{2}

Start by finding 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.