Examples with solutions for Parabola of the Form y=x²+c: Finding points on the graph of a function

Exercise #1

Determine the points of intersection of the function

y=x249 y=x^2-49

With the X

Video Solution

Answer

(7,0),(7,0) (7,0),(-7,0)

Exercise #2

At which points does the functiony=2x2+10 y=2x^2+10

intersect the y axis?

Video Solution

Answer

(0,10) (0,10)

Exercise #3

At which points does the function x2+y=3 x^2+y=3

intersect the y axis?

Video Solution

Answer

(0,3) (0,3)

Exercise #4

At which points does the following function intersect the Y axis?

y5x2=20 y-5x^2=20

Video Solution

Answer

(0,20) (0,20)

Exercise #5

Determine the points of intersection of the function

9y=4x2 9-y=4x^2

With the X

Video Solution

Answer

(32,0),(32,0) (-\frac{3}{2},0),(\frac{3}{2},0)

Exercise #6

Determine the points of intersection of the function

y=16x2 y=16-x^2

With the X

Video Solution

Answer

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

Exercise #7

Determine the points of intersection of the function

y=27+3x2 y=-27+3x^2

With the X

Video Solution

Answer

Answers a a and b b are correct

Exercise #8

Determine the points of intersection of the function

y=x2+4 y=x^2+4

With the X

Video Solution

Answer

No solution

Exercise #9

At which points does the fuctiony+10=3x2 y+10=3x^2 intersect the y axis?

Video Solution

Answer

(0,10) (0,-10)

Exercise #10

At which points does the functionx2+3y=0 x^2+3-y=0 intersect the y axis?

Video Solution

Answer

(0,3) (0,3)