Question

Use complete sentences to explain how you would use graphing technology to find the solutions of 0 = 2x2 − 3x + 0.5. What do the solutions of 0 = 2x2 − 3x + 0.5 represent on the graph of the equation?

Answer 1

plot
y = 2x^2 − 3x + 0.5
at the points where the curve touches the x-axis
2x^2 − 3x + 0.5 = 0
the points where y = 0 represent the real factors of 2x^2 − 3x + 0.5
in this case
x ≈ 0.19098 and x ≈ 1.30902
so
y ≈ 2(x - 0.19098)(x - 1.30902)

Answer 2

or

Answer 3

Set the equation to a funtion f(x) or y, such that

y = 2x^2 - 3x +0.5,

Let x = various values, say -2, -1, 1, 2 and maybe a few more, the more you have the more accurate your answer will be

Calculate the y values, by substituting each value of x into the above equation.

For example, if you let x = 1, then y = 1.5, you will plot the point (1,1.5),

Connect all the dots. The graph you blot will look like a smooth upward skinny V, just to the left of the middle, or y, axis. Where the graph hits the horizontal, or x axis, are the solution to the above equation.