SOLUTION: Given the quadratic function:
f(x) = -1/2x^2-3x+5/2
a. Determine whether the parabola opens up or opens down.
b. Find the vertex of the parabola.
c. Determine the axis of the
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-> SOLUTION: Given the quadratic function:
f(x) = -1/2x^2-3x+5/2
a. Determine whether the parabola opens up or opens down.
b. Find the vertex of the parabola.
c. Determine the axis of the
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Question 1187844: Given the quadratic function:
f(x) = -1/2x^2-3x+5/2
a. Determine whether the parabola opens up or opens down.
b. Find the vertex of the parabola.
c. Determine the axis of the symmetry.
d. Find the x - intercepts and the y - intercept of the parabola.
e. Sketch the graph of f(x). Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
Given the quadratic function:
a. Determine whether the parabola opens up or opens down.
if the leading coefficient is less than zero, as in your case,
the parabola opens
b. Find the vertex of the parabola.
rewrite equation in vertex form
.......... => and
the vertex is at (, )
c. Determine the axis of the symmetry.
The -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
d. Find the x - intercepts and the y - intercept of the parabola.
x - intercepts: set .........solve for
solutions: -> approximately -> approximately
y - intercepts: set
recall that
e. Sketch the graph of f(x).
