Answer:
x-intercept = (- 2 + √2, 0) (- 2 - √2, 0)
y-intercept = (2, 0)
Step-by-step explanation:
<u>Given expression</u>
y = x² + 4x + 2
<u>Find the x-intercept</u>
<em>Definition of x-intercept is the point that intersects with the x-axis, which means the y value is 0</em>
(0) = x² + 4x + 2
(x + 2 - √2) (x + 2 + √2) = 0
x = -2 ± √2
Therefore, the x-intercepts are
<u>Find the y-intercept</u>
<em>Definition of x-intercept is the point that intersects with the y-axis, which means the x value is 0</em>
y = (0)² + 4(0) + 2
y = 0 + 0 + 2
y = 2
Therefore, the y-intercept is
Hope this helps!! :)
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General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then
Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5