Answer:
f(x) = 2x² + 4x - 16
= 2(x² + 2x) - 16
= 2(x² + 2(x)(1) + 1² - 1²) - 16
= 2(x + 1)² - 2 - 16
= 2(x + 1)² - 18
Vertex: (-1, -18) minimum
Second point can be the y-intercept:
(0, -16)
It should be a concave up
Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
The answer you will get is 8 because your going to do 6+10 which equal 16 then divide 16 divide by 2 which gives you 8