# How do you graph 3x ^ { 2} + 6x - y + 7= 0?

##### 1 Answer
May 30, 2018

graph{3x^2+6x+7=y [-74.04, 74.1, -37.04, 37.04]}

#### Explanation:

We would rewrite the function so that y is on the left and the rest is on the right:
$y = 3 {x}^{2} + 6 x + 7$

Then we can plot it, either with a graph program like Geogebra or by calculating a table with x and y values and then plot it on a graph paper.
$x = - 2 , y = 3 \cdot {\left(- 2\right)}^{2} + 6 \left(- 2\right) + 7 = 7$
$x = - 1 , y = 3 \cdot {\left(- 1\right)}^{2} + 6 \left(- 1\right) + 7 = 4$
$x = 0 , y = 7$
$x = 1 , y = 3 \cdot {\left(1\right)}^{2} + 6 \left(1\right) + 7 = 16$