The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
-1 for apex i just answered this question and got it right
Answer:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps.
Answer:
1/2, 0.55, 5/7 is your answer
Step-by-step explanation:
Change each into decimal
1/2 = 0.50
0.55 = 0.55
5/7 = ~0.71
0.50 < 0.55 < 0.71
~
<span>The answer is 60.
Explanation<span>:
In mathematics, the word "of" indicates multiply. This means we would multiply 2/3 * 90.
We can write 90 as a fraction by putting it over 1, which gives us 2/3(90/1).
To multiply fractions, we multiply straight across: (2*90)/(3*1) = 180/3 = 60.</span></span>