Let's examine the given function first:
f(x) = x^2 + 1 is the same as f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept: f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)
Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1. So: Graph y=x^2. Then translate the whole graph UP by 1 unit. That's it. Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.
Answer:
The correct answer is: She bought 2 dress shirts and 5 t-shirts
Step-by-step explanation:
Let's marked dress shirts with x and t-shirts with y.
Now we will make equations to solve this problem:
x + y = 7 => y = 7 - x
40 x + 8 y = 120
When we replace y = (7 - x) in the previous equation we get:
40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>
32 x = 64 => x = 64/32 = 2 => x = 2
y = 7 - x = 7 - 2 = 5 => y = 5
x = 2 dress shirts
y = 5 t-shirts
God with you!!!
4
If i want the number 5 to be 4 times as large, i will multiply 5 x 4
