Question
Using the Desmos Graphing Calculator find the y-intercept for the following Quadratic equation
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)
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)
Answers
GPT-4o mini
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)**
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)**