SOLUTION: my homework says graph the parent functions {{{y=5x^2-10}}} this is suppose to make a parabola

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Question 278981: my homework says graph the parent functions y=5x%5E2-10 this is suppose to make a parabola
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
my homework says graph the parent functions y=5x%5E2-10 this is suppose to make a parabola



y=5x%5E2-10
Find the y-intercept by substituting x=0

y=5%280%29%5E2-10
y=-10

So the y-intecept is (0,-10)

Find the x-intercepts by substituting y=0

0=5x%5E2-10

-5x%5E2=-10

x%5E2=2

x=%22%22%2B-sqrt%282%29

x=%22%22%2B-1.4, approximately,
so the x-intercepts are approximately

(-1.4,0) and (1.4,0)

Plot those two points on the x-axis  and the y-intercept 
and you get this very thin parabola:

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C5x%5E2-10%29

Edwin