SOLUTION: 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)?

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)?
**
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:
..

RELATED QUESTIONS
The question states, "sketch a parabola with real roots and a turning point of (0,-7). Is (answered by josmiceli)

Sketch a narrow parabola that spills water and hasa turning point of (0,3). Will this... (answered by Edwin McCravy)

Rewrite the following quadratic in vertex form, identify the turning point and state if... (answered by Fombitz)

I am trying to help my grandson with his algebra. I have forgotten so much! The... (answered by stanbon)

Sketch a parabola that has a turning point of (0, -6) and complex roots. What else can... (answered by jim_thompson5910)

The question is: The quadratic function f is defined by f(x) = {{{4x^2 +5x +2}}} a) (answered by Alan3354)

The question says, "Sketch a narrow parabola that spills water and has a turning point of (answered by josmiceli)

Determine the coordinates (x,y) of the turning point of the curve y=x lnx - 2x, and... (answered by htmentor)

Rewrite the following quadratic in vertex form, identify the turning point and state if... (answered by Fombitz)