Using the Desmos Graphing Calculator find the y-intercept for the following Quadratic equation

Question

y=0.5x2+2x+1


(3 points)
Responses

(3.4,0)
(3.4,0)

(-2,-1)
(-2,-1)

(0,1)
(0,1)

(-0.5,0)

Answer 1

To find the y-intercept of a quadratic equation, you need to determine the value of \(y\) when \(x = 0\).

For the quadratic equation given:

\[ y = 0.5x^2 + 2x + 1 \]

Substituting \(x = 0\):

\[ y = 0.5(0)^2 + 2(0) + 1 \] \[ y = 0 + 0 + 1 \] \[ y = 1 \]

So, the y-intercept is (0, 1).

The correct response is:

(0, 1)