How do you do #2x^2+5x+3# with a table?

Question

1224 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-24T05:57:06

#" "#
Please read the explanation.

#" "#
We have the quadratic equation

#color(red)(y=f(x)=2x^2+5x+3#

Create a data table as shown below:

enter image source here

Use the table on the right (with just x and y values) to generate a graph as shown below:
#" "#

enter image source here

Observe that the Vertex is at : #color(red)((-1.25, -0.125)#

There are two x-intercepts: #color(blue)((-1.5,0),(-1,0)#

There is one y-intercept: #color(blue)((0,3)#

Axis of Symmetry is at #color(red)((x=-1.25)# as shown below:

enter image source here

Hope it helps.