What are the X and Y intercepts of y= -2(x-4)2 +3
1 answer:
Answer: x-intercepts are ( 2.775,0) and (5.225,0)
And y-intercept is (0,-29)
Step-by-step explanation:
Here the given equation is,
For x-intercept, y = 0,
Put y = 0 in the above equation of parabola,
We get,
By solving this equation,
We get, x = 2.775 or x = 5.225
Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)
Now, for y-intercept, x = 0
By putting x = 0 in the given equation of parabola,
We get, y = -29
Thus, y-intercept of the given parabola = (0,-29)
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The zeros of given function is – 5 and – 3
<u>Solution:</u>
We have to find the zeros of the function by rewriting the function in intercept form.
By using intercept form, we can put value of y as to obtain zeros of function
We know that, intercept form of above equation is
Taking “x” as common from first two terms and “3” as common from last two terms
x (x + 5) + 3(x + 5) = 0
(x + 5)(x + 3) = 0
Equating to 0 we get,
x + 5 = 0 or x + 3 = 0
x = - 5 or – 3
Hence, the zeroes of the given function are – 5 and – 3