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:
$126,000
Step-by-step explanation:
16% of 150,000 is 24,000
150,000-24,000=126,000
height = tan(11) x 210
height = 40.81 yards
rounded to nearest tenth = 40.8 yards
The function modelled by the height (x) of the tree is as follows:
y - 180 = (368 - 180)/(7 - 3) (x - 3)
y - 180 = 47(x - 3) = 47x - 141
y = 47x - 141 + 180 = 47x + 39
Therefore, after 10 years, the tree will be 47(10) + 39 = 470 + 39 = 509 cm tall