Answer:
Step-by-step explanation:
Use the distance formula!
If we plug in the coordinates:
That's our answer!
Remember the shortcut way for graphing quadratic equations
- A quadratic function has graph as parabola
- Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
- y on both sides for -x and +x is same
#1
Vertex
As a is positive parabola facing upwards
Find y for same x distance from vertex
I took 3-1=2 and 3+1=4
- f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
- f(4)=2(4-3)²-1=1
Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand
#2
- y=(x-2)(x+4)
- y=x²+4x-2x-8
- y=x²+2x-8
Convert to vertex form
Vertex at (-1,-9)
Same take two equidistant x values
Let's take -1-1=-2 and -1+1 =0
- f(-2)=(-2+1)²-9=1-9=-8
- f(0)=(1)²-9=-8
Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola
#3.
Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not
Your answer is 4/5, which is 80% or 0.8
If there are 20 marbles in total in the bag, and 4 blue ones, that means that the probability of taking a blue one is 4/20.
This means that the probability of not taking a blue one is 1 - 4/20, or 20/20 - 4/20, which equals 16/20 = 4/5
I hope this helps! Let me know if you have any questions :)
Answer:
A.
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
Now take out the common factors,
Thus, the correct option is choice (A).
