1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
2 years ago
12

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?

Mathematics
1 answer:
Sphinxa [80]2 years ago
3 0

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

You might be interested in
Find the area of a square if its side length is 3/7 units<br><br> NO LINKS PLEASE
Alex73 [517]

Answer:

A=a2

Step-by-step explanation:

4 0
3 years ago
We buy these products for $50.00 and then sell them for $67.00. That means that our price markup is?
Gekata [30.6K]

That means our price markup is $67.00-$50.00=$17.00

3 0
3 years ago
There are 48 people who have signed up to attend the midnight barbecue at the Rainbow Canyon Recreation Center. The chef wants t
BARSIC [14]
A) 264 11/2 *48
B) 66 pounds of beef needed .25*264
C) 66 pounds
6 0
3 years ago
Find the equation of the line using y=mx+b form thank you :)
Yuri [45]
The answer to the question

3 0
3 years ago
(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
Vsevolod [243]

Answers:

  • a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
  • b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
  • c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
  • d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
  • e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.
8 0
3 years ago
Other questions:
  • (a) if each of them tells 1 person, and then everybody tells exactly 1 other person, and so on, how long will it take until all
    8·1 answer
  • HELP ME PLEASE <br> DB is a diagonal of parallelogram ABCD, what is the measure of ADB
    8·2 answers
  • According to the 2000 U.S. Census Bureau, 49.65% of Texas residents were male. If one Texan was selected at random in 2000, what
    15·2 answers
  • What does "co-terminal" mean?
    9·1 answer
  • Which equation when graph has x intercepts at (2,0) and (4,0) and a y-intercept of (0,-16)?
    13·2 answers
  • Why would a Roth 401(k) investment plan allow you to invest the most amount of money? a. The federal government subsidizes a por
    9·2 answers
  • Brian rolls a fair dice and flips a fair coin.
    15·1 answer
  • Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $0.90. What percent discount did she give on he
    11·1 answer
  • Can anyone help please I give you more points
    14·1 answer
  • Help please asap geometry
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!