Slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line
2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1
tangent line passes through point (-2,-1)
k = x+y
k = -2 -1
k = -3
So the equation for these types of equations is f(x) = a(x-h)+k with h being a horizontal translation, a being a stretch/compression and k being a vertical translation. So here if you want a stretch of 4 a would be four, g(x)=4(-3x-h)+k. Also, there is a horizontal translation so it would be positive 4 into the equation. Since there is no change in the y-axis there is no vertical translation resulting in g(x) = 4(-3x-4)
Answer:
The manager skipped June
Step-by-step explanation:
In the first bar we can see the sales are from
January - February
Then,
March - April.
But then, the store manager goes from
May - July,
and totally skipped June, therefore making it look like the sales have increased.
1 gallon = 128 ounces
Divide total ounces by ounces per cup:
128 / 4 = 32
She had 32 servings