What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?
1 answer:
Answer:
Step-by-step explanation:
<h2><u>Lesson : Finding vertex from quadratic functions ,</u></h2><h2><u /></h2>Given:
f(x) = (x - 3)(x - 2)
"Vertex"
Find the x intercepts by using the zero product property,
(x - 3) (x - 2) = 0
x = 3 x = 2
X-int = (3,0) , (2,0)
Now find the y intercepts by factoring the equation ,
(x - 3)(x - 2)
x * x
x^2
x * -2
x^2 -2x
-3 * x
x^2 -2x -3x
-3 * -2
x^2 -2x -3x + 6
Combining like terms:
x^2 -5x + 6
Replace x with zero,
0^2 -5(0) + 6
6
y intercept = (0,6)
Now graph :
Graph shown
Find vertex -
You might be interested in
Answer:
Exponential decay
Step-by-step explanation:
We are given that
y=20 when t=0
Taking integration on both sides then we get
Using formula
Using formula
Substitute y=20 and t=0
Substitute the value of C
When t tends to infinity then
When time increases then the value of function decrease
Hence, the function is exponential decay.
Answer:
Same angular velocity
Same angular acceleration
Point 1 has greater tangential speed
Point 1 has greater tangential acceleration
Point 1 has greater centripetal acceleration
Step-by-step explanation:
Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.
The tangential quantities, however, would depend on how far they are from the axis of rotation:
where are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.
Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.
