Identify the following for the parabola: f(x)= 2(x-3)^2-8

vertex:
opens up/down:
max or min:
x-int/zeroes:
axis of symmetry:
vertical stretch/compression:
y-intercept:
domain:
range:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

he earned 78.75 in interest.

step-by-step explanation: