Answer:
B. (-1,13)
Step-by-step explanation:
Given translation
(x,y)→(x-2,y-6)
moves point 2 units to the left and and 6 units down.
If a point after this translation has coordinates (-3,7), then its preimage has coordinates (-1,13) (translate the image point 2 units to the right and 6 units up to get preimage point).
Answer:
- 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
g(x) = x² - 10x + (- 5)² - (- 5)² + 16
= x² - 10x + 25 - 25 + 16
= (x - 5)² - 9 ← in vertex form
vertex = (5, - 9), hence
minimum value = - 9
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
Answer:
When quantities have the same relative size. when they have the same ratio.
Step-by-step explanation:
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