Given:
The equation of the parabola is:

To find:
The y-intercept of the parabola.
Solution:
We have,

Putting
in the given equation, we get



Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).
To find concavity we need to find the second derivative.
Use quotient rule to find f'(x)=4/(x+3)^2
Then use chain rule to find f''(x)=-8/(x+3)^3
To find potential inflection points, we need to find all x values where the second derivative is equal to 0 or is undefined.
Set the numerator and denominator equal to 0 and solve.
(x+3)^3=0
x+3=0
x= -3
Now plug a value less than -3 and greater than -3 into the second derivative to find where the concavity is upward (positive number).
Since f''(-4) is positive, that means that f(x) is concave up on the interval (-infinity, -3).
Answer: 23
Step-by-step explanation:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2+2=4 .
That's a rational number I think you typed it wrong. Comment the correct number
<u>Answer:</u> logₓ 8
<u>Step-by-step explanation:</u>
5 logₓ2 - logₓ4
= logₓ2⁵ - logₓ4
= logₓ32 - logₓ4
= logₓ(32/ 4)
= logₓ 8