The graph of f(x) = 9(x - 2)2 - 6 is a parabola that opens upward with its vertex at (x, y) = | 2, – 6 ), and f(2) = is the ---Select-- v value of f. Viewing Saved Work Revert to Last Response
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- Find a quadratic function associated with vertex (h, k) = (1, 0) and point(x, y) = (–3, 4) that the parabola passes through. a .f(x)= 1/4 x^2+1 b. f (x)1/4 (x-1)^2 c.f(x)= 1/4 (x+3)^2 +4 d. f(x)= - 1/4 (x -1) ^2A. Where is the graph y=f(t) concave up? B. Where is f''(t) less than 0? C. Where is f'(t) greater than 0? D. Where does f(t) have a local minimum?Calculate the difference d between the global maximum and global minimum values of f(x)=x2−4x+6 in the interval [−2,4].
- (d) the equation of the tangent parallel to the x-axis to the curve f (x) = x ^ 2 ln x is: e) find the local extremum of F (x) = xe ^ x and determines if it is a maximum or a local minimum f) Determine the absolute maximum of the following function (x) = x - e^ (2x).4.Consider the functionf(x,y)=−x2−y2+6x+2y a.Find the values of x∧y that correspond to the stationary point(s) of this function. b.Determine whether the point(s) you identified in part (a) is a maximum, a minimum, or neitherThe graph of f(z)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify
- Find the absolute maximum and absolute minimum y-values of the function f(x)= 7 + 2x + 4/x2 on the interval (0, infinity) if they exist. If they do not exist, enter DNE. Round your answers to four decimals if necessary.Imagine you have the function f(x)= x^p*(1− x)^q where p and q are integers. Where might f have extrema? Where does f have a maximum? If p is even, where does f have a minimum? If q is even, where does f have a minimum? Justify your answers.