WRTING QUADRATIC EQUATION FROM VERTEX AND A POINT WORKSHEET

Write an equation of the parabola in intercept form.

Problem 1 :

parabola-intercept-form-q1

Solution

Problem 2 :

parabola-intercept-form-q2.png

Solution

Problem 3 :

x-intercepts of 12 and -6; passes through (14, 4)

Solution

Problem 4 :

x-intercepts of 9 and 1; passes through (0, -18)

Solution

Problem 5 :

x-intercepts of -16 and -2; passes through (-18, 72)

Solution

Answer Key

1)  y = -4(x - 2)(x - 4)

2)  y = 1(x + 1)(x - 2)

3) y = 1/10(x - 12)(x + 6)

4)  y = -2(x - 9)(x - 1)

5) y = 9/4(x + 16)(x + 2)

Problem 1 :

A parabola with vertex (1, 2) ; passes through (2, 3)

Solution

Problem 2 :

A parabola with vertex (0, -3) ; passes through (3, 0)

Solution

Problem 3 :

A parabola with vertex (-1, 4) ; passes through (-2, 3)

Solution

For each graph, write a quadratic function in vertex form and standard form.

Problem 4 :

vertexandpointq1

Solution

Problem 5 :

vertexandpointq2

Solution

Problem 6 :

What is the equation for the parabola shown in the graph ?

Solution

Answer Key

1) f(x) = (x – 1)2 + 2.

2)  f(x) = (1/3)x2 - 3.

3)  f(x) = -1(x + 1)2 + 4.

4)  y = (1/4) (x2 + 2x – 7)

5)   x2 – 4x + 7

6)   f(x) = -(x – 2)2 + 3.

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