# What is the equation, in standard form, of a parabola that contains the following points (–2, 18), (0, 2), (4, 42)?

##### 1 Answer

Jun 13, 2016

#### Answer:

#### Explanation:

Standard form of equation of a parabola is

As it passes through points

**........(A)**

**........(B)**

and **........(C)**

Now putting **(B)** in **(A)** and **(C)**, we get\

**.........(1)**

**.........(2)**

Adding **(1)** and **(2)**, we get

and hence

Hence equation of parabola is

graph{3x^2-2x+2 [-10.21, 9.79, -1.28, 8.72]}