The translation of a function f(x) can be described as:
f(x)->f(x-h)+k
when the functions has been translated h units to the right, and k units up.
Compare with
sqrt(x)->sqrt(x-1)+0
we see that h=1, k=0.
Thus it is a horizontal translation of 1 unit to the right. (zero unit up).
Answer:
y would be 90 degrees
Step-by-step explanation:
The triangle has a right angle which is where y is located. A right angle is usually 90 degrees.
y = -3.7x + 1 when x = -2
Plug in:
y = -3.7(-2) + 1
-3.7(-2) = 7.4
y = 7.4 + 1
7.4 + 1 = 8.4
y = 8.4
Answer - C) 8.4
Hope this Helps!!
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
