SOLUTION: find the vertex, x-intercept, and the y-intercept of the parabola given by {{{y= -6x^2+54x-48}}}

Question 188487: find the vertex, x-intercept, and the y-intercept of the parabola given by
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Slight error in the wording of your problem. Should have been:

"Find the vertex, x-intercepts, and y-intercept of the parabola given by

"

To find the vertex of a parabola whose equation is of the form:

First find the x-coordinate of the vertex given by

Then find the y-coordinate by calculating the value of the function at the x-coordinate of the vertex:

To find the x-intercepts, i.e. the points where the value of the function, y, is zero, set the function equal to zero and solve the quadratic either by factoring, completing the square, or using the quadratic formula.

To find the y-intercept, i.e. the point where the graph intersects the y-axis -- and the point where the value of the independent variable is zero, substitute 0 for x. For a quadratic function in standard form, the point is always (0,c).

John

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