Algebra

Engus

Identifying the Vertex

Try it

The vertex form of a quadratic function is fx) = a (x-h2 + k. What is the vertex of each function? Match the

function rule with the coordinates of its vertex

f (x) = 5 (x - 5) 2 + 9

1 (-5, - 6)

f (x) = 9 (x - 5) 2 + 6

(5.-9)

f (x) = 9 (x + 5) 2 - 6

f (x) = 6 (x - 5) - 9

f (x) = 6 (x + 9) - 5

Done

(5, 9) (5, 6) (-5,-6) (5, - 9) (-9, - 5)

Step-by-step explanation:

Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).

Vertex form: f (x) = a (x - h) ^2 + k

__

f (x) = 5 (x - 5) ^2 + 9; h = 5, k = 9; vertex: (5, 9)

f (x) = 9 (x - 5) ^2 + 6; h = 5, k = 6; vertex: (5, 6)

f (x) = 9 (x + 5) ^2 - 6; h = - 5, k = - 6; vertex: (-5, - 6)

f (x) = 6 (x - 5) ^2 - 9; h = 5, k = - 9; vertex: (5, - 9)

f (x) = 6 (x + 9) ^2 - 5; h = - 9, k = - 5; vertex: (-9, - 5)