Examples with solutions for Parabola of the Form y=(x-p)²+k: Finding a stationary point

Exercise #1

Find the intersection of the function

y=(x3)24 y=(x-3)^2-4

With the Y

Video Solution

Answer

(0,5) (0,5)

Exercise #2

Find the intersection of the function

y=(x+5)2+2 y=(x+5)^2+2

With the Y

Video Solution

Answer

(0,27) (0,27)

Exercise #3

Find the intersection of the function

y=(x+3)2+4 y=(x+3)^2+4

With the X

Video Solution

Answer

No cut

Exercise #4

Find the intersection of the function

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

With the Y

Video Solution

Answer

(0,7) (0,7)

Exercise #5

Find the intersection of the function

y=(x+4)21 y=(x+4)^2-1

With the Y

Video Solution

Answer

(0,15) (0,15)

Exercise #6

Find the intersection of the function

y=(x+2)24 y=(x+2)^2-4

With the X

Video Solution

Answer

(4,0),(0,0) (-4,0),(0,0)

Exercise #7

Find the intersection of the function

y=(x+1)25 y=(x+1)^2-5

With the X

Video Solution

Answer

(51,0),(51,0) (-\sqrt{5}-1,0),(\sqrt{5}-1,0)

Exercise #8

Find the intersection of the function

y=(x+5)249 y=(x+5)^2-49

With the X

Video Solution

Answer

(12,0),(2,0) (-12,0),(2,0)

Exercise #9

Find the intersection of the function

y=(x+3)29 y=(x+3)^2-9

With the X

Video Solution

Answer

(0,0),(6,0) (0,0),(-6,0)

Exercise #10

Find the intersection of the function

y=(x7)240 y=(x-7)^2-40

With the Y

Video Solution

Answer

(0,9) (0,9)