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
galina1969 [7]
3 years ago
10

Which of the following statements about f(x)=(x-4)^2-1 are true? select all that apply

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0
We have that
f(x)=(x-4)^2-1  in the question and f(x)=-(x-4)^2-1 in the picture
<span>so

</span><span>I'm going to analyze the two cases
</span><span>
using a graph tool

case 1)
</span>f(x)=(x-4)^2-1<span>
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
</span><span>the axis of symmetry is x=4
</span>see the attached figure N 1 

case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2






the answer 
<span>considering the case N 2 </span>is
vertex (4,-1)------> is correct
y intercept  (0,-17)-----> is correct
axis of symmetry x=4-----> is correct


Gre4nikov [31]3 years ago
6 0
<span>Both the vertex being (4, -1) and the y-intercept being (0, 17) are true.

We can tell the vertex portion given the formula of a graph in vertex form: f(x) = (x - h) + k, where (h, k) is the vertex. This will show us that (4, -1) is the vertex.

We also know that the y intercept is -17 because when we plug 0 into the equation, we get -17.
f(x) = -(x - 4)^2 - 1
f(x) = -(-4)^2 - 1
f(x) = -16 - 1
f(x) = -17.

The x-intercept option is not true because the vertex is below the x axis and the negative coefficient gives the graph a downward trend. Therefore, there will be no x-intercept.</span><span />
You might be interested in
Costco is selling boxes of pomegranates for $18.99. if a box contains 6 pomegranates, what is the cost of one pomegranate?
GrogVix [38]

Answer:

$113.94

18.99 multiplied by 6 is 113.94

8 0
2 years ago
12. Which of the following are NOT rational
ioda

Os números que não são racionais são os da opção C)

8 0
2 years ago
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% c
gtnhenbr [62]

Answer:

99\% CI=4.1602 \pm 0.0009

Step-by-step explanation:

From the question we are told that:

Sample size n=8

Mean \=x=4.1602

Standard deviation \sigma=0.001gram

Generally 99\% confidence from table  is mathematically given by

 99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}

 P(-z

 Z_{\alpha/2}=2.576

Generally the equation for 99\% confidence level (CI)  is mathematically given by

 99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}

 99\% CI=4.1602 \pm 0.0009

5 0
3 years ago
Daniel is starting his own sewing business. Daniel has calculated that he needs to earn $360 per week to support his family. If
Anna007 [38]

Answer:

$12 the hour

Step-by-step explanation: $360 divided by 30 is 12, meaning he will need to make a minimum of 12 an hour to support his family.

4 0
3 years ago
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
coldgirl [10]

Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.


Step-by-step explanation:

In the given graph we have  set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis  represents the wrist circumference while  y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is most likely the length of a telephone book
    9·1 answer
  • How many fractions are equivalent to 4/5?
    10·1 answer
  • Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).
    12·1 answer
  • Tommy used to have 130 friends on Minecraft, Now he has 180 friends. what what percent did his number of friends increase?​
    15·2 answers
  • 54 is 120% of what number? Explain please!
    11·2 answers
  • What is the sequence of the function why equals 4X -3
    6·1 answer
  • When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh
    12·2 answers
  • Which number is greatest?
    5·2 answers
  • Can u help me with this I don’t understand
    5·1 answer
  • the net of a rectangular prism is shown below. the surface area of each face is labeled. which vakues represent the dimensions,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!