Write an equation for the translation of the function. y = cos x; translated 6 units up
2 answers:
Answer:
Step-by-step explanation:
We are given a cos x function. We need to find the function shift 6 units up.
Graph will shift 6 units up. So, all y value of function shift vertically up.
y=f(x)
If shift h and k horizontally and vertically respectively then y=f(x+h)+k
y=cos x
Shift h and k unit then new function
y=cos(x+h)+k <=> cos x + 6
Thus, C is correct option.
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Answer:
She is about 14.765 miles ( miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse =
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ( miles) from where she started.