Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7
─────█─▄▀█──█▀▄─█─────
────▐▌──────────▐▌────
────█▌▀▄──▄▄──▄▀▐█────
───▐██──▀▀──▀▀──██▌───
──▄████▄──▐▌──▄████▄──
Option D:

Solution:
Given function:

To find the inverse of the function.
<u>Inverse of a function:</u>
<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

Interchange the variables x and y.

Now, solve for y.
Multiply both sides by (y - 5).

Cancel the common factors, we get

Divide by x on both sides.

Add 5 on both sides.


To make the denominator same, multiply the 2nd term by
.



Option D is the correct answer.
There are 3 times as many participants in the 40–59 age group than in the 0–19 age group is the one statement among the following choices given in the question that best compares the height of the bars of the histogram. The correct option would be " There are 3 times as many participants in the 40–59 age group than in the 0–19 age group."