Question

Find the vertex, line of symmetry, y - intercept, strategic points

Answer 1

Given:

`f(x)=-x^2+4x`

Opens downward.

`f(x)=-x^2+4x-4+4`
`f(x)=-(x^2-4x+4)+4`
`f(x)=-(x-2)^2+4`

Vertex of the parabol is (2,4)

Line of symmetry:

`x=2`

Y-intercept:

`f(0)=4`

y=4 is the y intercept.

`\Rightarrow(0,0)`

Strategic points are :

`(2,4),(0,0),(4,0)`