First you shift units in the -direction, then you multiply by along the -axis and finally you shift units in the -direction.
If you swap the last two steps around then you get .
Max.
gives you and therefore .
gives you and therefore .
gives you and therefore .
gives you and therefore . Solution: .
gives you and therefore .
Solution: .
gives you so there are no solutions. Solution: this is true for every .
Vertex , open down, decreasing for .
No, at the vertex the function is neither increasing nor decreasing.
gives you and therefore .
X-intersects en .
gives you and .
First shift by in the -direction, then multiply by along the -axis and finally shift by in the -direction.
Doen.
gives you and therefore .
Solution of the inequality: .
gives you and therefore .
Solution of the inequality: .
gives you and therefore .
Solution of the inequality: .
gives you and therefore .
Solution of the inequality: .
Top geeft: .
Grafiek door geeft: en dus .
Conclusie: .
gives you: and therefore .
This gives you . The player was about m away from the basket.
It is a parabola that opens down, with a maximum value of for .
The function is a parabola that opens down with a vertex on the -axis. In order to get two intersects, you need a , then the vertex will be above the -axis.
Vertex on gives you: .