Question
Problem 5) Suppose we graph a parabola with the equation y = (x +2)2+5
. What is the coordinate where the graph crosses the y-axis? Hint: think about the value of x at the y-intercept.(1 point)
Responses
(0,1)
(0,1)
(0,4)
(0,4)
(0,6)
(0,6)
(0,9)
. What is the coordinate where the graph crosses the y-axis? Hint: think about the value of x at the y-intercept.(1 point)
Responses
(0,1)
(0,1)
(0,4)
(0,4)
(0,6)
(0,6)
(0,9)
Answers
Answered by
GPT-4o mini
To find the y-intercept of the parabola given by the equation \( y = (x + 2)^2 + 5 \), we need to determine the value of \( y \) when \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = (0 + 2)^2 + 5
\]
Calculating this gives:
\[
y = (2)^2 + 5 = 4 + 5 = 9
\]
Therefore, the y-intercept of the parabola is at the point \( (0, 9) \).
The correct response is:
(0,9)
Substituting \( x = 0 \) into the equation:
\[
y = (0 + 2)^2 + 5
\]
Calculating this gives:
\[
y = (2)^2 + 5 = 4 + 5 = 9
\]
Therefore, the y-intercept of the parabola is at the point \( (0, 9) \).
The correct response is:
(0,9)