Answer:
Step-by-step explanation:
Given
![(x + 7) * (\ ) = [\ ]](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%28%5C%20%29%20%3D%20%5B%5C%20%5D)
Required
Complete the blanks
We have:
Rewrite as:
Cross multiply
Since the focus is at (0, 2) and directrix is y = -2
point where both of these have the same x-value will be at (0, 2) for the focus and (0, -2) for the directrix.
The vertex will also have the same x-value so it will be (0, y).
y-value is half-way between the y-value of the focus, and the y-value of the directrix at x = 0.
Directrix y-value is -2 at x = 0 and for the focus it's 2 at x = 0.
Halfway between y = -2 and y = 2 is y = 0.
So the vertex of the parabola occurs at (0, 0).
So that's x^2 = 4ay = 4(2)y = 8y.
y = 1/8*x^2
hope it helps
The correct match for each leading coefficient will be as below:-
1. ⇒ b ⇒ 8
2. ⇒ d ⇒ 4
3. ⇒ e ⇒ 40
4. ⇒ c ⇒ - 8
5. ⇒ a ⇒ 2
<h3>What is a polynomial?</h3>
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The leading coefficient of the polynomial is defined as the coefficient of the variable having the highest power in the polynomial.
For the given polynomials calculate the highest power variable in each polynomial with the coefficient.
1.
P(x) = (x + 2) (2x - 3) (4x +7):
P(x) = 8x³
2.
P(x) = 1/2(x - 2) (2x - 3) (4x + 7):
P(x) = 4x³
3.
P(x)= 5(x - 2) (2x - 3) (4x + 7):
P(x)= 40x³
4.
P(x) = -(x - 2) (2x - 3) (4x + 7):
P(x) = -8x³
5.
P(x) = 1/4(X + 2) (2x - 3) (4x + 7):
P(x) = 2x³
Therefore, the leading coefficients are 8, 4, 40, -8, and 2 respectively.
To know more about polynomials follow
brainly.com/question/2833285
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