Question

I need some help on this question, I have been stuck on it for a while.
An expression is shown below:
f(x) = -16x2 + 22x + 3
Part A: What are the x-intercepts of the graph of the f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph

Answer 1

hmm... I can only do a.
b and c - I forgot
anyway to obtain the x-intercepts set your y to 0
f(x) = y
0=-16x^2+2x+3

Answer 2

and solve for x

Answer 3

Okay I think if I can get A I might be able to get the rest. Oh okay thanks.

Answer 4

the vertex is going to absolute maximum if parabola opens down, and absolute minimum of parabola opens up. (to know opens up/down look at the coefficient of x²)

Answer 5

if coefficient of x² is negative it opens down, if positive then up.

Answer 6

you can graph it by hand (part C), using the obvious y-intercept, the x-intercept from part A, and perhaps you might want some more points for accuracy.

Answer 7

g☻☻d luck

Answer 8

oh wow thank you that helped a lot!