A quadratic function f is given. f(x) = −4x2 − 12x + 5 (a) Express f in standard form. f(x) = −4(x+32​)2+14 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x, y) = −32​,14

Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dogs age when compared to a humans age can be modeled using either a linear formula or a quadratic formula as follows: y1=4.13x+14.63 y2=-0.033x2+4.647x+13.347, where y1 and y2 represent a dogs human age for each formula and x represents the dogs actual age. Source: Mathematics Teacher. Dog Age Human Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find y1 and y2 when x=5. b. Find dy1/dx and dy2/dx when x=5 and interpret your answers. c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer?

Write a quadratic function with the given repeated zero. 2i

Rewrite f(x)=2x28x+3 in the f(x)=a(xh)2+k form by completing the square.