Question 1122135
slope between those two points is change in y/change in x, or 3/2
point slope formula y-y1=m(x-x1), m slope, (x1, y1) one of the points
y+2=(3/2)(x+1), notice the signs
y+2=(3/2)x+3/2
y=(3/2)x-1/2
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same thing
y-7=3(x-4)
y=3x-12+7
y=3x-5
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change the sign in front of the h and it is the x-value of the vertex (the y-value is k)
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the function is moved down 2 units and is much narrower (compressed), increasing three times as rapidly.
{{{graph(300,300,-10,10,-10,10,x^2,3x^2-2)}}}