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MTH130.UNITONE.Grade...
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GRADED ASSIGNMENT - 4D
REVIEW QUADRATICS
For the quadratic function:
f(x)
x2 – 3x – 10
a.
Write the axis of symmetry.
b.
Write the vertex. Is it a max. or min. pt.
c.
Write the y-intercept.
d.
Write the x-intercepts (if any).
e.
Sketch the graph of the quadratic.
f.
Transform the equation into standard form using completing the square.
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Explanation & Answer
Attached.
Solution: Given quadratic function is f(x) = x 2 - 3x - 10
a. To find the axis of symmetry, we can proceed as follows
We have f(x) = x 2 - 3x - 10
It's of the form f(x) = ax 2 + bx + c , here a = 1, b = -3 and c = -10
3
to reduce it to the standard form.
2
9 9
= x 2 - 3x - 10 + 4 4
We can add and subtract square of b/2a i.e. square of 2
3
3
f(x) = x...
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