the area of a triangle is 384 square feet. If its base is 8 feet longer than its altitude, find the length of the base and the a
1 answer:
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Answer:
The correct option is C). 42,x=(-2)
Point (0,42) is y-intercept of f(x)
x+2=0 is equation of axis of symmetry
Step-by-step explanation:
The given function is f(x)=
To find y-intercept:
The y-intercept is point were x=0
y=f(x)=
y=f(0)=
y=42
Therefore,Point (0,42) is y-intercept of f(x)
To find axis of symmetry of f(x):
We know that f(x) is equation of parabola
Hence, the x -coordinate of the vertex of the parabola is the equation of the axis of symmetry.
if the equation of parabola is f(x)= then, the axis of symmetry is given by x=
Therefore, for f(x)=
The axis of symmetry will be,
x=
a=10 and b=40
x=
x=-2
x+2=0 is equation of axis of symmetry
Thus,
The correct option is C). 42,x=(-2)
<em>Note: In figure, blue curve is f(x) and black line is axis of symmetry</em>
