FINDING EQUATION OF PARABOLA FROM X AND Y INTERCEPTS WORKSHEET

Find the equation of the quadratic with graph:

Problem 1 :

parabola-q1

Solution

Problem 2 :

parabola-q2

Solution

Problem 3 :

parabola-q3

Solution

Problem 4 :

parabola-q4

Solution

Problem 5 :

parabola-q5

Solution

Problem 6 :

parabola-q6

Solution

Answer Key

1)  y = 2(x - 1)(x - 2)

2)  y = 2(x - 2)2

3)  y = 1(x - 1)(x - 3)

4)  y = -1(x + 1)(x - 3)

5)  y = -3(x - 1)2

6)  y = -2(x + 2)(x - 3)

Problem 1 :

Sketch the parabola which has x-intercepts -3 and 1, and y-intercept -2.

i) Find equation of parabola

ii) Find the equation of the axis of symmetry.

Solution

For each of the following:

i. Sketch the parabola

ii. Find the equation of the axis of symmetry.

Problem 2 :

x- intercepts 3 and -1, y- intercept -4

Solution

Problem 3 :

x- intercepts 2 and -2, y- intercept 4

Solution

Problem 4 :

x- intercept -3 (touching), y- intercept 6

Solution

Problem 5 :

x- intercept 1 (touching), y- intercept -4

Solution

For each of the following find the equation of the axis of symmetry:

Problem 6 :

axisofsymmetry6

Solution

Problem 7 :

axisofsymmetry7

Solution

Problem 8 :

axisofsymmetry8

Solution

Answer Key

1)  y = 2/3 (x + 3) (x - 1)

2)  y = 4/3 (x - 3) (x + 1)

3)  y = -1 (x - 2) (x + 2)

4)  y = 2/3 (x + 3) (x + 3)

5)  y = -4 (x - 1) (x - 1)

6)  axis of symmetry x = 2.

7)  axis of symmetry x = 1.

8)  axis of symmetry x = -4.

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