Write a function in any form that would match the graph shown below.

f(x) = -2(x + 5)²(x - 2)²

Step-by-step explanation:

Let the function shown by the graph is,

f(x) =

Here, x = a and b are the zeros of the function

p and q are the multiplicity of the function.

If the graph crosses x-axis at a zero x = a, p (multiplicity) will be odd.

If the graph just touches the x-axis at x = b, q will be even.

From the graph attached,

Zeros → x = -5, 2

Graph touches the x-axis, representing the even multiplicity.

Therefore, function will be,

f(x) = k(x + 5)²(x - 2)²

y-intercept from the graph → (0, -200)

From the given function,

-200 = k(0 + 5)²(0 - 2)²

-200 = 100k

k = -2

Therefore, function represented by the graph is,

f(x) = -2(x + 5)²(x - 2)²

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870