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
Answer:
On a basic level, crayons consist of paraffin wax and non-toxic color pigments. The pigments typically come in a powdered form, with the specific colors and amounts determined by the final color of the crayon being produced. Crayons may also contain an additive to improve the strength of the crayon.
Step-by-step explanation:
Answer:
It's 38
Step-by-step explanation:
I I don't know oh my God your thing is showing
3 miles. Using cross-multiplication, 3×4 = 12 and 4×1 = 4, so 12/4 = 3.
<h3>
Answer: 384 square units</h3>
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Explanation:
Let A = (4,8) and B = (12,16)
Form point C at the location (12,8). Note how points A and C are on the same horizontal level, or they have the same y coordinate.
The distance from A(4,8) to C(12,8) is 12-4 = 8 units. Ignore the y coordinates and subtract the x coordinates. This trick only works for horizontal line segments.
So we can see that each square face has a side length of 8 units. The area of each square face is 8^2 = 8*8 = 64 square units.
There are six of these faces, so 6*64 = 384 square units is the total surface area of the number cube.
