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mart [117]
3 years ago
7

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

Answer:

2x²-2x-24

Step-by-step explanation:

Something has roots of 4 and -3 we can write

(x-4)(x+3)

We then attach a constant, a that will ensure that it passes through the correct point

a(x-4)(x+3)

now plug in the numbers and solve for a

a(3-4)(3+3)= -12

a(-1)(6)= -12

-6a= -12

a=2

So we have

2(x-4)(x+3)

and now it's just a matter of mulitplying/simplifying things

(x-4)(x+3)= x²-x-12

2(x²-x-12)= 2x²-2x-24

artcher [175]3 years ago
3 0

Answer:

y = 2x² - 2x - 24

Step-by-step explanation:

Given a root x = a then the factor is (x - a )

Given roots are x = 4 and x = - 3 , the corresponding factors are

(x - 4) and (x - (- 3)) , that is (x - 4) and (x + 3)

The quadratic is then the product of the factors

y = a(x - 4)(x + 3) ← a is a multiplier

To find a substitute (3, - 12) into the equation

- 12 = a(- 1)(6) = - 6a ( divide both sides by - 6 )

2 = a

y = 2(x - 4)(x + 3) ← expand factors using FOIL

   = 2(x² - x - 12) ← distribute

y = 2x² - 2x - 24

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Answer:

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Step-by-step explanation:

3*6=18*2=36

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Answer:

x = 2, -2, -1/5

Step-by-step explanation:

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The entire graph of the function g is shown in the figure below.
marusya05 [52]

The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

x = -4 (closed circle)

x =4 (open circle)

This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

y = -5 (closed circle)

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This means that the range of the function is [-5, 2)

Read more about domain and range at:

brainly.com/question/10197594

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2 years ago
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DochEvi [55]

Answer:

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Step-by-step explanation:

(2x^2-3x+5)(x^2+4x+1)\\(2x^2-12x+5)

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