for y=x^2-10 do the following
A) Sketch a graph of the equation
B) Identify the vertex
C)Compare the graph of y=f(x) to the graph of y=x^2 (state any transformations used)

Question

for y=x^2-10 do the following 
A) Sketch a graph of the equation
B) Identify the vertex
C)Compare the graph of y=f(x) to the graph of y=x^2 (state any transformations used)

anonymous · Answer

First, does the graph open up or down?

anonymous · Answer

up?

anonymous · Answer

O wait no - 10 so down right?

anonymous · Answer

No, now when you look for whether the graph opens up or down you're looking at the "quadratic term". The quadratic term dominates everything else. The quadratic term is the (x^2) one.

anonymous · Answer

ok

anonymous · Answer

So is the quadratic term positive or negative?

anonymous · Answer

positive

anonymous · Answer

Excellent, so the parabola opens up.
Now here, look at what happens when x is 0. What is y?

anonymous · Answer

-10? Sorry not verygood at this

anonymous · Answer

No you got it. So y is -10 when x is 0. And the graph opens up.
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