i think it is D...........................................
Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
f(x) = 7 is a even function
<em><u>Solution:</u></em>
Given that we have to find the even function
A function is even if and only if f(–x) = f(x)
<em><u>Steps to follow:</u></em>
Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even.
If f(-x) = - f(x), the function is odd.
If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.
<h3>Option 1</h3>
Substitute x = -x in above function
Thus
So this is not a even function
<h3>Option 2</h3>
f(x) = 8x
Substitute x = -x in above function
f(-x) = 8(-x) = -8x
Thus
So this is not a even function
<h3>Option 3</h3>
Substitute x = -x in above function
Thus
So this is not a even function
<h3>Option 4</h3>
f(x) = 7
f(-x) = 7
Thus f(-x) = f(x)
Thus it is a even function
A = 16 over 49
b= 2 then 1 over 10