Question

graph
chris decided to get on desmos and graphed the equation ( y = x^2 + 4 ). then he used the graph to find his two answers.
explain in your own words how chris found the two answers to
the quadratic equation ( x^2 + 4 = 104 ).

Explanation:

1. The equation $x^2 + 4 = 104$ is equivalent to finding where the graph of $y = x^2 + 4$ has a $y$-value of 104.
2. First, locate $y=104$ on the vertical axis, then draw a horizontal line across the graph.
3. Find the two points where this horizontal line intersects the curve $y = x^2 + 4$.
4. Read the corresponding $x$-values of these two intersection points; these are the solutions.

Answer:

Chris solved $x^2 + 4 = 104$ by first identifying that he needs to find the $x$-values where the graph of $y=x^2+4$ has a $y$-coordinate of 104. He drew a horizontal line at $y=104$, found its two intersection points with the curve, and read the $x$-values of those points: $x=10$ and $x=-10$.