Maths-

General

Easy

Question

Maths-

General

Easy

Question

f(x) = 0.11 x

We have to find the height it was kicked and maximum height reached by the ball

On comparing with the standard form of the function f(x)=ax

We get the y-intercept = c = 1

This y-intercept is the value where x= 0 and in our example x is the horizontal distance of ball .

So, at starting point the value of x is 0

So, y-intercept will be the height of the ball from which it was kicked

y-intercept = c = 1

For finding the maximum height of the ball we have to find the vertex of it.

In f(x)= 0.11 x

x = −(2.2)/2(0.11)

x = -2.2/0.22

x = -10

The equation of the axis of symmetry for f(x)= 0.11 x

The x coordinate of the vertex is the same:

h = -10

The y coordinate of the vertex is :

k = f(h)

k = 0.11h

k = 0.11 (-10)

k = 11 - 22 + 1

k = -10

Therefore, the vertex is (-10 , -10)

The maximum height will be the y-coordinate of vertex = 10