What would a graph look like with the equation y=-2(x)2+3.the two next to the x means to the second power.

Please help me

2 answers

I forgot to put use the integers -3 to 3 to graph the equation.
For x = - 3

y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 3 ) ^ 2 + 3 = - 2 * 9 + 3 = - 18 + 3 = - 15

for x = - 2

y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 2 ) ^ 2 + 3 = - 2 * 4 + 3 = - 8 + 3 = - 5

for x = - 1

y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 1 ) ^ 2 + 3 = - 2 * 1 + 3 = - 2 + 3 = - 1

for x = 0

y = - 2 ( x ) ^ 2 + 3 = - 2 * 0 ^ 2 + 3 = - 2 * 0 + 3 = 0 + 3 = 3

for x = 1

y = - 2 ( x ) ^ 2 + 3 = - 2 * 1 ^ 2 + 3 = - 2 * 1 + 3 = - 2 + 3 = - 1

for x = 2

y = - 2 ( x ) ^ 2 + 3 = - 2 * 2 ^ 2 + 3 = - 2 * 4 + 3 = - 8 + 3 = - 5

For x = 3

y = - 2 ( x ) ^ 2 + 3 = - 2 * 3 ^ 2 + 3 = - 2 * 9 + 3 = - 18 + 3 = - 15

For graph

In google type :

functions graphs online

when you see list of results click on :

rechneronline.de/function-graphs

When page be open in blue rectangle type :

- 2 x ^ 2 + 3

set :

Range y-axis from - 15 to 5

and click option :

Draw