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Answer:
a = -
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (105, 27 ) , thus
y = a(x - 105)² + 27
To find a substitute (109, 14 ) into the equation
14 = a(109 - 105)² + 27 ( subtract 27 from both sides )
- 13 = 16a ( divide both sides by 16 )
a = -
ANSWER
The y-intercept is (0,-11)
The x-intercepts are:
(-1,0) and (11,0)
EXPLANATION
The given function is
To find the y-intercept, we put x=0 into the function.
The y-intercept is (0,-11)
To find the x-intercepts, we put f(x)=0.
This implies that,
The x-intercepts are:
(-1,0) and (11,0)
Use the Pythagorean theorem: