Question

These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x = 9 to x = 10?
х
Interval
0
1
WN
у
-1
-2
-5
-10
-17
-26
-37
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
-5
-7
-9
-11

A.-82
B.-19
C.-2
D.-101

Answer 1

Answer:

No tables attached(Unable to solve)

Quadratic function

The functions having degree 2 called quadratic function.

Like

$\boxed{\sf f(x)=\dfrac{1}{x(3-x)}}$

Graph attached

Answer 2

Answer:

The stationary point or turning point of the quadratic curve will be below the x axis just one unit down.

• It'll be a curve because of the squared variable. I.e:

${ \tt{f(x) = { \boxed{ {x}^{2} }}} + bx + c}$

that x² makes it a curve.