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
vovangra [49]
3 years ago
14

Write a formula for quadratic function if its graph has the vertex at point ( 1/3 ,−3) and passes through the point (1,1).

Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

Answer:

f(x) = 9(x -1/3)^2 -3

Step-by-step explanation:

In vertex form the equation of a quadratic with vertical scale factor "a" and vertex (h, k) is ...

y = a(x -h)^2 +k

To make the equation have (1, 1) as a solution, we need to find the value of "a". We can put the point coordinates in the equation and solve for "a":

1 = a(1 -1/3)^2 -3 . . . . . for (h, k) = (1/3, -3) as given

1 = (4/9)a -3 . . . . simplify

4 = (4/9)a . . . . . . add 3

9 = a . . . . . . . . . . multiply by 9/4

The quadratic function you desire is ...

f(x) = 9(x -1/3)^2 -3

You might be interested in
This is an off topic question but i feel the need to let other peoples brains keep running so these are the questions i will giv
serg [7]
<span>−4.6−(0.4+7.2)
</span><span>−20+(−40)+(−60)

4 and 5 is properties of addition

-80 is your answer

hope this helps</span>
6 0
3 years ago
Read 2 more answers
Solve the equation for all values of x by completing the square.<br> x2 + 21 = 10x
sashaice [31]

Answer:

oookkk

Step-by-step explanation:

oofookkjjjnnn

ooo6

3 0
3 years ago
How does f(x) = 3 ^x change over the interval x = 4 to x= 5
zloy xaker [14]

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1.  Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

6 0
3 years ago
Which of the following statements uses the commutative property of addition?
Helen [10]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in. To the nearest tenth of a percent, wha
Mila [183]
The error is about 3.5%
5 0
3 years ago
Other questions:
  • If the average American sleeps 8 hours a night, with a standard deviation of 1 hour, and I plan on gathering a sample of 12 coll
    14·1 answer
  • Croints
    7·1 answer
  • What is the equation, in slope-intercept form, of the line that is perpendicular to the line
    9·1 answer
  • 5 ft<br>3 ft<br>3 ft<br>2 ft<br>2 ft<br>2 ft<br>3 ft<br>4 ft<br>find the area​
    13·1 answer
  • Which angle or angles are supplementary to angle 4?
    5·1 answer
  • Is it linear or exponential
    5·1 answer
  • Find b and c so that y =<br> 2x^2 + bx+c has vertex (0,-2)<br> b=<br> C=
    15·1 answer
  • Simplify these expressions: 12x - 3x​
    11·1 answer
  • What is the volume of a sphere of 13cm? using 3.14​
    14·1 answer
  • A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!