SOLUTION: f(x)=-3x^2+3x-2 a. opens up or opens down b. vertex = c axis of symmetry d. show algebraically how you know the function has no x-intercepts e internal where it is increasin

Algebra.Com
Question 1157414: f(x)=-3x^2+3x-2
a. opens up or opens down
b. vertex =
c axis of symmetry
d. show algebraically how you know the function has no x-intercepts
e internal where it is increasing and decreasing

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

duplicate.

I just answered it. See the link

https://www.algebra.com/algebra/homework/Functions/Functions.faq.question.1157403.html



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


a. opens up or opens down
=> coefficient of the is negative
b. vertex =
write equation in vertex form

.......complete square
.......





,
vertex is at (,)

c axis of symmetry
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

d. show algebraically how you know the function has no x-intercepts

If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.
if determinant <0



->proven


e. internal where it is increasing and decreasing
in interval (,) is increasing ,and in interval (,) decreasing






RELATED QUESTIONS

f(x)=-3x^2+3x-2 a. opens b. vertex = (-0.5,-2.75) c axis of symmetry x=-0.5 d.... (answered by MowMow,ikleyn)
Given the quadratic function: f(x) = -1/2x^2-3x+5/2 a. Determine whether the parabola (answered by MathLover1)
For the quadratic function f(x)=3x^2+6x+2 a.)Graph the quadratic function by determining (answered by Boreal)
Please help me solve this problem that I'm having difficulty solving. Thank you so much... (answered by Nate)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by RAY100)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by Mathtut)
I need help solving the quadratic function,For Each Funtion:(a) determine whether the... (answered by josmiceli)
For the given function, (a) determine whether the graph opens upward or downward, (b)... (answered by lwsshak3)
y=x^2+1 I need to find whether the graph opens up, or opens down, find the vertex, and... (answered by MathTherapy)