The quadratic function given by:
is in vertex form. The graph of
is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:vhv
Step-by-step explanation:hhgjhghjgjg
U have a solid line...means there is an equal sign in the problem...so that eliminates 2 of them right away...so A and D are incorrect
it is shaded below the line....this means it is less then...that eliminates option C leaving u with only one answer choice
so ur answer is : B. y is less then or equal to x
Do u have the surface area formula
Answer:
the number if people in line when the booth opened.
Step-by-step explanation:
70-5x: the number goes down by 5 people per minute. So for example if it has been 10 minutes, 50 people would’ve been given their tickets.