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:
{h| 0 ≤ h ≤ 60}
Step-by-step explanation:
Next time, please separate the possible answer choices with commas or semi-colons, or put them on separate lines.
The second set says it all: {h| 0 ≤ h ≤ 60}. This guy cannot work more than 60 hours per week, and h cannot be negative.
Answer:
I do not see any diagrams. Though she had 32 apples before she ate any, 8 in each bag.
Answer:
JK= 8x-4
Step-by-step explanation:
This is achieved by adding JM And MK because M is the midpoint of JK.
Answer:
y = 0.5x + 5
Step-by-step explanation:
The equation is in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given the ordered pair (0, 5 ) then c = 5
Calculate the multiplier using the slope formula
with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table
m =
= 0.5, hence
y = 0.5x + 5 ← equation relating x and y