Answer:
see explanation
Step-by-step explanation:
given a parabola in standard form : y = ax² + bx + c : a ≠ 0
• If a > 0 then parabola opens up
• If a < 0 then parabola opens down
given y = 4x² - 8x + 8 ← in standard form
with a = 4, b = - 8 and c = 8
here a > 0 then parabola opens up
Explanation;
To solve an exponential Equation with different bases we need to the following steps;
1. Isolate the exponential part of the equation. If there are two exponential parts put one on each side of the equation.
2^x=3^x+1
2. Introduce logarithm of each side of the equation;
log 2^x = log 3^x+1
3. Then apply power property to rewrite the exponent.
x log 2= (x+1)log 3
4. Then Solve for the variable ;
x log 2 = log 3 + x log 3
x log 2 - x log 3 = log 3
x (log 2 - log 3) = log 3
and x = log 3 / (log 3 - log 2)
I believe the correct answer is the first one, A.