# How do you find the vertex, x-intercept, y-intercept, and graph the equation #y=-4x^2+20x-24#?

##### 1 Answer

**The graph is a parabola that opens downward.**

Generally, a parabola has the following equation:

**I. Solve for Vertex **

To solve for k plug in the value of h to x in the original equation

**The vertex is at**

**II. x and y intercepts**

set y = 0 to get the x-intercepts

**divide both sides by -4**

To get the y-intercepts, set

**How to graph?
1. Plot the vertex at # ( 5/2,1)#. This is where opening downward commences.
2. Plot the x intercepts #(3,0), (2,0)# this is where the graph will cross the x-axis.
3. Plot the y-intercept #(0,-24)# This is where the graph crosses the y-axis.
Can anyone help me to create a picture of the graph here. I really don't know how. Thanks.**