SOLUTION: determine which of the following sttements are ture if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
does parabola 1 has a lower minimun the
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Question 879813: determine which of the following sttements are ture if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
does parabola 1 has a lower minimun then parabola 2?
does parabola 1 crosses the y-axis higher then parabola 2?
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Parabola 1 is also y=(x-6)(x+2) and its zeros are -2 and 6.
Knowing just the zeros of parabola Number 2 is not enough information to say it the two questions are true or false. We have no information about to help with knowing directrix or focus exactly. Not enough information to tell how parabola 2 relates to the y axis.
Best to say, FALSE to both statements (which should be restated as declarative sentences).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
determine which of the following statements are true if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
does parabola 1 has a lower minimum then parabola 2? yes
does parabola 1 crosses the y-axis higher then parabola 2? no
***
parabola 1:
y= x^2-4x-12
complete the square:
y=(x^2-4x+4)-4-12
y=(x-2)^2-16
vertex: (2,-16)
minimum at -16
y-intercept:
set x=0
y=-12
..
parabola 2:
zeros at x=4 and x=-2
(x-4)(x+2)=x^2-2x-8
complete the square:
y=(x^2-2x+1)-1-8
y=(x-1)^2-9
vertex: (1,-9)
minimum at -9
y-intercept:
set x=0
y=-8
..
see graph below as a visual check on the answers:
parabola 1:red curve
parabola 2:green curve
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