Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.
Answer:
well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66
Answer:
6.928 or 6.93
Step-by-step explanation:
\sqrt{8^{2}-4^{2}}
Answer:
x² + 2x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + x² - 8 ← collect like terms
= x² + 2x - 5
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
