Mathematics, 27.09.2019 17:30, lilchannelll4125

The graph of which function will have a maximum and a y-intercept of 4?
a. f(x) = 4x2 + 6x – 1
b. f(x) = –4x2 + 8x + 5
c. f(x) = –x2 + 2x + 4
d. f(x) = x2 + 4x – 4

Answers: 1

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The y-intercept of the equation is the value of the variable y or in this case, f(x), when x is equated to zero. Out of all the choices presented in this item, if x is equated to zero, the first two terms will be equal to zero, leaving the third term only for the numerical value of f(x).

From the choices presented, the answer would be f(x) = -x2 + 2x + 4. Thus, the answer is the third choice, C.

answered: lilmomma4561p83k3b

The quadratic equation (-x^2+2x+4) have the coefficient of x^2 less than zero therefore its graph has a maximum point and it also have y-intercept equal to 4.

The quadratic equation that have the coefficient of x^2 less than zero, then the graph of that quadratic equation have a maximum point.

Therefore according to the given equation the quadratic equation that have a maximum point are: $(-4x^2+8x +5)\;and\;(-x^2+2x+4)$ .

Now, to evaluate the value of y-intercept, put the value of x equal to zero.

a). 4x^2+6x-1

put x = 0 in above equation to get the y-intercept:

4(0)^2+6(0)-1=-1

So, the equation 4x^2+6x-1 has y-intercept -1.

b). -4x^2+8x+5

put x = 0 in above equation to get the y-intercept:

-4(0)^2+8(0)+5=5

So, the equation -4x^2+8x+5 has y-intercept 5.

c). -x^2+2x+4

put x = 0 in above equation to get the y-intercept:

-(0)^2+2(0)+4=4

So, the equation -x^2+2x+4 has y-intercept 4.

d). x^2+4x-4

put x = 0 in above equation to get the y-intercept:

(0)^2+4(0)-4=-4

So, the equation x^2+4x-4 has y-intercept -4.

Therefore, the correct option is c).

For more information, refer the link given below:

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answered: Guest

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x.

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

answered: Guest

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

= pi 5^2

= 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360 60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

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The graph of which function will have a maximum and a y-intercept of 4?
a. f(x) = 4x2 + 6x –...