Translation of 7 units to the right ⇒ subtract 7 units to the argument ⇒ f(x-7)
Translation of 5 units up ⇒ add 5 units to the function ⇒ f(x) + 5
g(x) = f (x-7) + 5 = (x-7)^2 + 5
The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.
Adding 5 units to the function f, translates the graph 5 units up.
Answer:
c = - 7
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
x² + 4x - 7 = 0 is in standard form
By comparison of the coefficients of the terms, c = - 7
Answer: 1 5/12 cups of flour leftover
Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.
Standard deviation(σ

) = √V(X) = 10
Therefore, variance of X. V(X) = 10² = 100
Variance of aX is given by,
V(aX) = a²V(X)
Therefore, variance of 3X will be,
V(3X) = 3²V(X) = 9(100) = 900
Therefore, standard deviation of 3X is,
σ

= √V(3X) = √900 = 30