Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( )x +
-
- 5
y = (x + )² -
-
y = (x + )² -
Hence
a = and b = -
Answer: 25%
Step-by-step explanation:
Given : Previous baby's weight = 18 pounds
New baby's weight = 24 pounds.
Increase in weight = New weight -Previews weight
=24 pounds - 18 pounds =6 pounds
Percentage increase in baby's weight =
Hence, the percentage increase in baby's weight = 25%
Graph of f(x-3) is compressed by a factor of horizontally of f(x).
<u>Step-by-step explanation:</u>
We have, the graph of f(x)= , on replacing f(x) by f(x-3) we get:
=
.Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of
horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph :
.
