An expression is shown below: f(x) = −25x2 + 30x − 9 part a: how many x-intercepts could the graph of f(x) have and what component of the polynomial indicates the potential x intercepts? what are the values of the x intercepts ? find the x intercepts by factoring and show all work. (4 points) part b: what is the value of the y-intercept of the graph of f(x) and what component of the polynomial indicates this value? (2 points) part c: discuss the end behavior of the graph of f(x) and what components of the polynomial indicate this behavior. (4 points)

See below.

Step-by-step explanation:

f(x) = -25x2 + 30x − 9

This is a parabola which opens downwards.

Part A.

The discriminant b^2 - 4ac = 30^2 - 4*(-25) * -9

= 900 - 900

= 0

This indicates that the graph of the function just touches the x-axis. So there is one root of multiplicity 2.

Factoring:

-25x2 + 30x − 9

=  -(25x^2 - 30x + 9)

= -(5x - 3)(5x - 3)

so the roots are x = 3/5  multiplicity 2.

The x -intercept is at (0.6, 0).

Part B.

The y intercept is when x = 0 so here it is

y = -25(0)^2 + 30(0) -9

= -9

The constant  at the end of the function (-9) indicates the y-intercept.

The y intercept is at (0, -9).

Part C.

The end behaviour of f(x):

The negative coefficient (-25) of x^2 indicates that the graph increases from negative infinity from the left.

Since it is a parabola that opens downwards  ( because of the -25)  it decreases to negative infinity on the right.

pay attention in your classes and concentrate the best thing you can do to raise your test scores is to pay attention when you're supposed to be learning the material: in class!

take good notes.

do your homework.

use mnemonics and other tricks.

do practice tests.

note: the best i know.

answer: dead jah

step-by-step explanation:

bullet + jah= dead jah