3. Write the equations of two different quadratic relations that matcheach description.a) The graph is narrower than the graph of y = x² near its vertex.b) The graph is wider than the graph of y = -x² near its vertex.The graph opens downward and is narrower than the graphof y= = 3x² near its vertex.c)

a) The graph is narrower than the graph of y=x2 near its vertex

Answered: 3. Write the equations of two different…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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The manager of a local restaurant is trying to decide how much money to spend on advertising. She knows that an increase in advertising spending will increase her profit, up to a point. The situation is modelled by the relation R = -0.0005(A-5000)² + 12 500, where R is the extra revenue and A is the amount spent on advertising, both in dollars. a. State the coordinates of the vertex of this parabola. b. What do the coordinates of the vertex represent in this situation? c. According to this relation, if $0 is spent on advertising, what will the revenue be? d. According to this relation, if $200 is spent on advertising, what will the revenue be?
2. Use the equation y=x²+6x- 27 to complete the following. Part D: Find the vertex. State your vertex as an ordered pair |(x, y). Show your work or explain your answer. Part A: Write the equation in intercept form: y = a(x - p)(x - q) Part E: Part B: Find the x-intercept(s). State your x-intercept(s) as an Graph the equation. Be sure to include the vertex, the ordered pair (x, y). Show your work or explain your x-intercepts, y-intercept, and at least one additional point on your graph. answer. Part C: Find the y-intercept. State your y-intercept as an ordered pair (x, y). Show your work or explain your answer.
38-) Write the equation of the line that passes through the point A (-2,3) and has no common point with the x-axis.
2. Bill graphed = 3x² + 8 and Joy graphed = 3x +4. What statement describes the difference in the two graphs? Joy's graph is located further down the y-axis than Bill's graph. Joy's graph is located to the left of Bill's graph. Joy's graph is wider than Bill's graph. Joy's graph is half the size of Bill's graph.
If (2, b) is a point on the graph of y = x2 + 3x, what is b?
write all of the equations of the lines that map the square onto itself
The x-intercept of the graph of 5x+8y=40 is Type an ordered pair
Please answer the boxes and do not show work.
Graph: y > 2x - 1 y<-x+1 -5 -4 -3 -2 -1 Clear All Draw: 5 4 3 2 1 -1 -2 -3 -4 5 7 2 3 4
Please solve, thank you.
iv
5) Write y = x² + 12x + 5 in vertex form. %3D

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