SOLUTION: Given the function f(x) = -x^2+8x a. Determine the vertex, b. List the axis of symmetry, c. calculate the y-intercept, d. find an additional point on the graph, and e. graph t

Algebra ->  Coordinate-system -> SOLUTION: Given the function f(x) = -x^2+8x a. Determine the vertex, b. List the axis of symmetry, c. calculate the y-intercept, d. find an additional point on the graph, and e. graph t      Log On


   

Question 524664: Given the function f(x) = -x^2+8x
a. Determine the vertex,
b. List the axis of symmetry,
c. calculate the y-intercept,
d. find an additional point on the graph, and
e. graph the function.
Please show all of your work.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Given any second degree (quadratic) polynomial function of the form:



The coordinates of the vertex are found by:





And the vertex is thus

The equation of the axis of symmetry is:



The -intercept is the point and . HINT: for your particular problem.

By symmetry, is a point on the graph.

Plot the three points you have derived so far and then draw a smooth curve through them.

John

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