Use a graphing calculator to find the y-intercept and x-intercepts of the function y = 0.5x^2 + 2x + 1
a. y-intercept -1; x-intercepts: -3.414 and -0.586
b. y-intercept 1; x-intercepts: -3.414 and -0.586
c. y-intercept -1; x-intercepts: -3.521 and -0.606
d. y-intercept 1; x-intercepts: -3.521 and -0.606
To find the y-intercept, you can set x = 0 in the equation y = 0.5x^2 + 2x + 1:
y = 0.5(0)^2 + 2(0) + 1
y = 1
So the y-intercept is 1.
To find the x-intercepts, you can set y = 0 and solve for x:
0 = 0.5x^2 + 2x + 1
Using a graphing calculator to solve for x, we get x = -3.521 and x = -0.606.
Therefore, the correct answer is:
c. y-intercept 1; x-intercepts: -3.521 and -0.606