Answer:
x-intercept = (- 2 + √2, 0) (- 2 - √2, 0)
y-intercept = (2, 0)
Explanation:
Given expression
y = x² + 4x + 2
Find the x-intercept
Definition of x-intercept is the point that intersects with the x-axis, which means the y value is 0
(0) = x² + 4x + 2
(x + 2 - √2) (x + 2 + √2) = 0
x = -2 ± √2
Therefore, the x-intercepts are
Find the y-intercept
Definition of x-intercept is the point that intersects with the y-axis, which means the x value is 0
y = (0)² + 4(0) + 2
y = 0 + 0 + 2
y = 2
Therefore, the y-intercept is
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