Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
First, find the area of the circle using the formula A=pi r^2.
A=pi (2x+3)^2 = pi(4x^2 + 12x + 9)
Second, find the area of the rectangle inside by multiplying the polynomials.
(X+1)*(3x+2) = 3x^2 + 5x +2
Third, subtract the area of the rectangle from the area of the circle to find the area of the shaded region.
pi(4x^2 + 12x + 9) - 3x^2 + 5x +2 =area of shaded region
Or
(pi (2x+3)^2) - ((X+1)(3x+2)) = area of shaded region
is the answer not 105 cubic feet
999999999999999999999999999999Answer:9999999999999999999 poppplygojhyijjuhhnnjnnnjjndjbjkghdhhghbenhdjgetpodjfhdj
Step-by-step explanation:
