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
Algebra.Com
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).
RELATED QUESTIONS
Given the parabola y=-(x-6)^2-1,determine each of the following
Identify whether the... (answered by LtAurora)
Find the vertex of the parabola given by the function f(x) = 2x^2 + 3, expressing... (answered by CharlesG2)
Find the vertex of the graph of the quadratic function. Determine whether the graph... (answered by stanbon)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by Mathtut)
For the quadratic function f(x)=3x^2+6x+2
a.)Graph the quadratic function by determining (answered by Boreal)
Determine whether the graph of the quadratic function f(x)=x^2+5 opens upward or... (answered by josgarithmetic)
Describe whether the function opens up or down and find the vertex.
y = -2(x + 1)² +... (answered by Fombitz)
Find the vertex of the graph of f(x)= 3x^2-12x+5 and determine whether the graph opens up (answered by stanbon,MathLover1,MathTherapy)
I need help solving the quadratic function,For Each Funtion:(a) determine whether the... (answered by josmiceli)