The equation is f(x) = 4x^2 - 4.
You can find this by using an equation with parenthesis that equal each of the zeros.
f(x) = (x - 1)(x + 1)
Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.
f(x) = c(x - 1)(x + 1)
Now we can find the constant by putting our vertex into the equation and solving.
f(x) = c(x - 1)(x + 1)
-4 = c(0 - 1)(0 + 1)
-4 = c(-1)(1)
-4 = -1c
c = 4
Now we put the c into the original equation and solve for standard form.
f(x) = 4(x - 1)(x + 1)
f(x) = 4(x^2 - 1)
f(x) = 4x^2 - 4
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Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by ![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Answer:
Step-by-step explanation:
4 cm × 1000 = 4000 cm = 40 meters
3 cm × 1000 = 3000 cm = 30 meters
A 4 cm by 3 cm section on the map represents 40 m by 30 m.
area = 40 m × 30 m = 1200 m²
The line is y = x also called the diagonal.