I NEED HELP WITH QUESTION 2. 1. Let f(x) = 2x-2.(a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+cand indicate the values of the coefficients: a, b and c.(b) Find the vertex V, focus F, focal width, directrix D, and the axis ofsymmetry for the graph of y = f(x).(c) Plot a graph of y = f(x) and indicate all quantities found in part (b)on your graph.(d) Specify the domain and range of the function f.2. Let g(x) = f(x) u(x) where is the quadratic function from problem 1and u is the unit step function:u(x)=1 if x 200 if x<0YA10y = u(x)(a) Write a piecewise formula for the function g.(b) Sketch a graph of y = g(x).(c) Indicate the domain and range of the function g.X

Answered: Image /qna-images/answer/c2c2d68a-4bc4-424d-bdfd-aad1dfb63849.jpg

2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step function: u(x) = { 1 if x 20 0 if x<0 YA 1 y = u(x) (a) Write a piecewise formula for the function g. (b) Sketch a graph of y = g(x). (c) Indicate the domain and range of the function g.

2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step function: u(x) = { 1 if x 20 0 if x<0 YA 1 y = u(x) (a) Write a piecewise formula for the function g. (b) Sketch a graph of y = g(x). (c) Indicate the domain and range of the function g.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...

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Question

I NEED HELP WITH QUESTION 2.

1. Let f(x) = 2x
-2.
(a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+c
and indicate the values of the coefficients: a, b and c.
(b) Find the vertex V, focus F, focal width, directrix D, and the axis of
symmetry for the graph of y = f(x).
(c) Plot a graph of y = f(x) and indicate all quantities found in part (b)
on your graph.
(d) Specify the domain and range of the function f.
2. Let g(x) = f(x) u(x) where is the quadratic function from problem 1
and u is the unit step function:
u(x)=
1 if x 20
0 if x<0
YA
1
0
y = u(x)
(a) Write a piecewise formula for the function g.
(b) Sketch a graph of y = g(x).
(c) Indicate the domain and range of the function g.
X

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