Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Answer:
the answer is D. 1115
Step-by-step explanation:
Answer:
<em>The weight of the parcel is approximately 6 kilograms.</em>
Step-by-step explanation:
The weight of the parcel is 12 lbs and 8 oz.
1 lb = 16 oz
So, 8 oz =
lb.
<u>That means, 12 lbs and 8 oz</u> = (12 + 0.5) lbs = 12.5 lbs
Now, 1 lb = 454 g
So, 12.5 lbs = (12.5 × 454) g = 5675 g
As, 1 kilogram = 1000 g
That means, 1 g = 0.001 kilogram
So, 5675 g
kilograms. <em>(Rounded to the nearest whole kilogram)</em>
Thus, the weight of the parcel is approximately 6 kilograms.
Your answer will be,
ANSWER: (4b - 5)^2
You're welcome :)
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form
where
affects how "fat" or "skinny" the parabola is and
is the vertex. Therefore, the vertex is
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as
for a parabola with a vertical axis. Hence, the axis of symmetry is
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is
.
The interval where the function is decreasing is 
The interval where the function is increasing is