The Vertex of the Parabola: Linking function properties to its representation

Examples with solutions for The Vertex of the Parabola: Linking function properties to its representation

Exercise #1

Find the vertex of the parabola

y=(x+1)21 y=(x+1)^2-1

Video Solution

Answer

(1,1) (-1,-1)

Exercise #2

Find the vertex of the parabola

y=(x1)21 y=(x-1)^2-1

Video Solution

Answer

(1,1) (1,-1)

Exercise #3

Find the vertex of the parabola

y=(x+1)2 y=(x+1)^2

Video Solution

Answer

(1,0) (-1,0)

Exercise #4

Find the vertex of the parabola

y=x2+3 y=x^2+3

Video Solution

Answer

(0,3) (0,3)

Exercise #5

Find the vertex of the parabola

y=x26 y=x^2-6

Video Solution

Answer

(0,6) (0,-6)

Exercise #6

Find the vertex of the parabola

y=x2 y=x^2

Video Solution

Answer

(0,0) (0,0)

Exercise #7

Find the vertex of the parabola

y=(x3)21 y=(x-3)^2-1

Video Solution

Answer

(3,1) (3,-1)

Exercise #8

Find the vertex of the parabola

y=(x3)2 y=(x-3)^2

Video Solution

Answer

(3,0) (3,0)

Exercise #9

Find the vertex of the parabola

y=(x1)2+3 y=(x-1)^2+3

Video Solution

Answer

(1,3) (1,3)

Exercise #10

Find the vertex of the parabola

y=(x+2)2 y=(x+2)-2

Video Solution

Answer

(2,2) (-2,-2)

Exercise #11

Find the vertex of the parabola

y=(x+2)3 y=(x+2)-3

Video Solution

Answer

(2,3) (-2,-3)

Exercise #12

Find the vertex of the parabola

y=(x3)210 y=(x-3)^2-10

Video Solution

Answer

(3,10) (3,-10)

Exercise #13

Find the vertex of the parabola

y=(x+3)26 y=(x+3)^2-6

Video Solution

Answer

(3,6) (-3,-6)

Exercise #14

Find the vertex of the parabola

y=(x3)2+6 y=(x-3)^2+6

Video Solution

Answer

(3,6) (3,6)

Exercise #15

Find the vertex of the parabola

y=(x5)+1 y=(x-5)+1

Video Solution

Answer

(5,1) (5,1)

Exercise #16

Find the vertex of the parabola

y=(x5)5 y=(x-5)-5

Video Solution

Answer

(5,5) (5,-5)

Exercise #17

Find the vertex of the parabola

y=(x6)2+1 y=(x-6)^2+1

Video Solution

Answer

(6,1) (6,1)

Exercise #18

Find the vertex of the parabola

y=(x6)2+1 y=(x-6)^2+1

Video Solution

Answer

(6,1) (6,1)

Exercise #19

Find the vertex of the parabola

y=(x7)27 y=(x-7)^2-7

Video Solution

Answer

(7,7) (7,-7)

Exercise #20

Find the vertex of the parabola

y=(x7)+5 y=(x-7)+5

Video Solution

Answer

(7,5) (7,5)