Answer:
x=
Step-by-step explanation:
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting in (i), we get
Divide both sides by -4.
Putting in (i), we get
Therefore, the required equation of the parabola is .
Note: All options are incorrect.
Answer:
5 trapezoid 6 polygon 7 Parrelogram 8squaare
Answer:
od
Step-by-step explanation:
Answer:
The required expression is (x+2).
Step-by-step explanation:
The given point is (3,6).
Here,
x-coordinate = 3
y-coordinate = 6
We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.
If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means
where, x' is new x-coordinate and x is initial x-coordinate.
Put x=3 in the above equation.
Therefore, the new x-coordinate is 5.