In her Algebra class, Annie is asked to graph the function ƒ(x)= x^2 − 3 on the chalkboard. Annie does this correctly, and then Mark is asked to go to the board and graph the function ƒ(x) = 4x^2 − 3. If Mark graphs this function correctly, compared to Annie's, his graph will be A. Narrower
B. Wider
C. Shifted upward 4 units
D. Shifted downward 4 units

mark branliest

step-by-step explanation:

.6 is 1/2 of 12

the answer is actually d. i just took the test

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

for this case we have that by definition, the volume of a cylinder is given by:

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d