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
Anna35 [415]
3 years ago
13

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

You might be interested in
Find the value of the expression (-8.6) + 7.2
malfutka [58]
(-8.6)+7.2= -1.4

Think of it as 8.6-7.2 and carry down the negative sign.
3 0
3 years ago
Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
aleksley [76]
I hope this helps you

5 0
3 years ago
Read 2 more answers
a new obstacle course is home to several new types of challengingobstacles. one such obstacle is traveling a 15 stair case. to m
Zanzabum
20% if it will determine the pay of how much it is.
3 0
3 years ago
Read 2 more answers
What is simple interest
hjlf
This is from another website. <span>Simple interest is money you can earn by initially investing some money (the principal). A percentage (the interest) of the principal is added to the principal, making your initial investment grow!</span>
8 0
3 years ago
Read 2 more answers
A, B, C, and D are the four angles of a parallelogram. a.Show that angle A = angle C
Thepotemich [5.8K]

Answer:

look at the pictures

Step-by-step explanation:

HOPE THIS helps

4 0
2 years ago
Other questions:
  • I need help I will mark brainlyest
    12·1 answer
  • What is half percent of one hundred
    7·2 answers
  • Please help me.
    11·1 answer
  • Finley's pumpkin had a mass of 6.56.56, point, 5 kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right pa
    7·1 answer
  • Can someone help :-)
    8·1 answer
  • Car Value A family buys a car for 20,000The value of the car decreases about 20% each year. After 6 yr, the family decides to se
    15·1 answer
  • Create a graph of the combined function h(x) = f(x) / g(x) in which f(x) = x - 6 and g(x) = x + 6. On your graph, show the graph
    13·1 answer
  • Solve this question abd show work for branliest!!!
    13·1 answer
  • Help please s s s what is ittyt
    11·1 answer
  • Given OR=OQ. prove&lt;3=&lt;5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!