Question

Graph the function.
g(x) = 2(x - 2)² +2

Answer 1

A graph of the quadratic function
`g(x) = 2(x - 2)^2 +2` with y-intercept, the vertex and two points on the parabola is shown below.

In Mathematics and Euclidean Geometry, the vertex form of a quadratic function is represented by the following mathematical equation:

`y = a(x - h)^2 + k`

Where:

• h and k represents the vertex of the graph.
• a represents the leading coefficient.

Based on the information provided above, we can reasonably and logically deduce the following key features for this quadratic function;

`g(x) = 2(x - 2)^2 +2`

y-intercpt = (0, 10)

vertex (h, k) = (2, 2)

In conclusion, we would use an online graphing tool to plot the given quadratic function for the values in its domain, as shown in the graph attached below.