FINDING VERTEX OF DIFFERENT TYPES OF FUNCTIONS

Find the vertex practice: (all types)

Problem 1 :

y = √(x - 4) + 8 Vertex: (  ,  )

Solution

Problem 2 :

y = -√x  Vertex: (  ,  )

Solution

Problem 3 :

y = -|x - 1|  Vertex: (  ,  )

Solution

Problem 4 :

y = √x - 7  Vertex: (  ,  )

Solution

Problem 5 :

y=13(x+10)2 Vertex:( , )

Solution

Problem 6 :

y = 3√(x + 1)  Vertex: (  ,  )

Solution

Answer Key

1)  Vertex (h, k) = (4, 8)

2)  Vertex (h, k) = (0, 0)

3)  Vertex (h, k) = (1, 0)

4) Vertex (h, k) = (0, -7)

5)  Vertex (h, k) = (-10, 0)

6)  Vertex (h, k) = (-1, 0)

Find the vertex of absolute value function given below and find the direction of opening.

Problem 1 :

y = 1/4│x + 4│- 9

Solution

Problem 2 :

y = -2│x + 1│+ 6

Solution

Problem 3 :

y = 4│x - 3│

Solution

Problem 4 :

y = -1/2│x│+ 3

Solution

Problem 5 :

y = -5│x - 8│- 5

Solution

Answer Key

1)  Vertex (h, k) = (-4, -9), a = 1/4, it will open up.

2)  Vertex (h, k) = (-1, 6), a = -2, it opens down.

3)  Vertex (h, k) = (3, 0), a = 4, It will open up.

4) Vertex (h, k) = (0, 3), a = -1/2, it will open down.

5)  Vertex (h, k) = (8, -5), a = -5, it will open down. 

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More