Question 479184: Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum vaue for f(x)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Sketch a parabola with real roots and a turning point of (0,-7). Is the turning point a minimum or maximum vaue for f(x)?
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Standard form of a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
For given problem:
Turning point of (0,-7) are the coordinates of the vertex.
Equation:
y=(x-0)^2-7, A=1
y=x^2-7
Since sign of the coefficient of the lead term is >0, curve opens upwards, that is, it has a minimum.
see graph below as a visual check on the answer:
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