Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
left 1 unit, up 5 units
oright 1 unit, up 5 units
left 2 units, up 2 units
right 2 units, up 2 units

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

you first to choose the points and then move from then as the slope you have