We have been given graph of a downward opening parabola with vertex at point
. We are asked to write equation of the parabola in standard form.
We know that equation of parabola in standard form is
.
We will write our equation in vertex form and then convert it into standard form.
Vertex for of parabola is
, where point (h,k) represents vertex of parabola and a represents leading coefficient.
Since our parabola is downward opening so leading coefficient will be negative.
Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:




Divide both sides by 
So our equation in vertex form would be
.
Let us convert it in standard from.



Therefore, the equation of function is standard form would be
.
Answer:
210.53
Step-by-step explanation:
here
hope it helps
Answer:
The price decreased by 16 1/3%, or approximately 16.3%
Step-by-step explanation:
Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.
percent change = (new price - old price)/(old price) * 100%
In this case, use:
new price = 50
old price = 60
percent change = (new price - old price)/(old price) * 100%
percent change = (50 - 60)/60 * 100%
percent change = -10/60 * 100%
percent change = -1/6 * 100%
percent change = -100/6% = -50/3% = -16 1/3%
The price decreased by 16 1/3%, or approximately 16.3%
The question isn’t clear, can you write it better so I can understand?
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane