Question

Graph the function $y=-2{\left(x-2\right)}^2+3$.

Short answer

The graph of the function $y=-2{\left(x-2\right)}^2+3$ is shown below.

Step-by-step solution

Step 1. Write down the given information.

The given function is $y=-2{\left(x-2\right)}^2+3$.

Step 2. Construct the graph of the given function.

The graph of the function $y=-2{\left(x-2\right)}^2+3$ is shown below.

Step 3. Interpretation from the graph.

From the graph it can be interpreted that the graph cuts x-axis at two different points. Hence it will have two real solutions.