Make a table of values and connect the points with a parabola.
Graph:
Practice makes perfect
We want to graph the given quadratic function.
y=4x^2-5To do so, we will first make a table of values.
x
4x^2-5
y=4x^2-5
0
4( 0)^2-5
-5
1
4( 1)^2-5
-1
2
4( 2)^2-5
11
Note that since the given function has the form y=ax^2+c the axis of symmetry is the vertical line x= 0. Now, let's plot the obtained points and their reflections across the axis of symmetry. Then we can connect them with a parabola.
