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1 year ago

Which quadratic function is represented by the graph?

Mathematics

1 answer:

Vesnalui [34]1 year ago

3 0

The equation of the quadratic function will be y = 5(x – 7)(x – 5). Then the correct option is B.

<h3>What is a quadratic equation?</h3>

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The quadratic function is represented by the graph.

Then the equation of the quadratic function will be

The graph is passing through (7, 0) and (5, 0). Then the equation of the function will be

y = a(x – 7)(x – 5)

Then the vertex of the graph is at (6, -5). Then we have

-5 = a(6 – 7)(6 – 5)

-5 = -a

a = 5

Then the equation will be

y = 5(x – 7)(x – 5)

Then the correct option is B.

More about the quadratic equation link is given below.

brainly.com/question/2263981

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2 years ago

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Answer:

4. The range is -2 ≤ y ≤ 4

5. The domain is {-2 , -1 , 0 , 3.5 , 4.2}

6. The relation is not a function

Step-by-step explanation:

* Lets explain how to solve the problem

# Question 4:

- The range of the function is the values of all y (output) which is

corresponding to the values of all x (input)

- The figure is a stare, the values of x is from -4 to 4

∴ The domain is -4 ≤ x ≤ 4

- The corresponding values of y are from -2 to 4

∴The range is -2 ≤ y ≤ 4

# Question 5:

- The table represent a relation between x and y

- x is the input of the relation

- y is the output of the relation

∵ The input of the relation is called the domain of it

∴ The domain of the relation is all values of x in the table

- the values of x are -2 , -1 , 0 , 3.5 , 4.2

∴ The domain is {-2 , -1 , 0 , 3.5 , 4.2}

# Question 6:

- The relation can be a function if each ordered pair has a

unique value of x (input)

- That means every x (input) has only one y (output)

- Ex : The relation {(a , b) , (c , d) , (a , f)} is not a function because

the input a has two output b and f

∵ The relation is {(-4 , 0) , (-3 , 0) , (-2 , 1) , (1 , -2) , (-3 , 4)}

∵ The x = -3 has two values of y 0 and 4

∴ The relation is not a function

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