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nexus9112 [7]
2 years ago
5

F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) i

n the box
Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

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Step-by-step explanation:

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2 years ago
Which is a quadratic function having a leading coefficient of 3 and a constant term of –12? f(x) = –12x2 3x 1 f(x) = 3x2 11x – 1
eimsori [14]

The correct option is b.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

<h2>Leading coefficient </h2>

The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.

Given options:

a.)  f(x) = -12x^2+3x+1 \\

b.)  f(x) = 3x^2+11x-12 \\

c.)  f(x) = 12x^2+3x+3\\

d.)  f(x) = 3x -12.

<h3 /><h3>Solution</h3>

As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,

3x²+bx+c,

Also, the value of the constant is -12, therefore, the value of c is -12,

3x²+bx-12

From all the given options the only feasible option is b only.

Hence, the correct option is b.

Learn more about Quadratic Equation:

brainly.com/question/2263981

8 0
2 years ago
n a survey about favorite fruits, 28 people chose apples, 17 chose oranges, and the rest chose pears. If 60 people were surveyed
nordsb [41]

Based on the number of people who chose the other fruits, the percentage of people who chose pears was <u>25%. </u>

<h3>Number of people who chose pears </h3>

= Number of participants - Number who chose apples - Number who chose oranges

= 60 - 28 - 17

= 15 people

<h3>Percentage who chose pears </h3>

= Number of people who chose pears / Total number of people x 100%

= 15 / 60 x 100%

= 25%

In conclusion, 25% chose pears.

Find out more on percentages at brainly.com/question/13516343.

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2 years ago
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This is not an exponential function. This is a linear function.
4 0
2 years ago
0.4 divided by 0.2
Roman55 [17]
78
0.01
0.37
3.4
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0.02
5 0
3 years ago
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