Given: Two functions f(x) = x^2 and g(x) = x^2 – 10x +2
To find: Which Translation maps the vertex of the graph of the function f(x) onto the vertex of the function g(x)?
Solution:Now we have given Two functions f(x) = x^2 and g(x) = x^2 – 10x +2f(x) = x^2 is a vertical parabola which open upward with vertex at point (0,0)Now g(x) can be written as:
g(x) - 2 = x^2 – 10x
g(x) - 2 + 25 = x^2 – 10x + 25
g(x) + 23 = (x - 5)^2
g(x) = (x - 5)^2 - 23So the given function g(x) is a vertical parabola with the vertex at point (5,-23).Now from this point we can see that the translation is 5 units to right as it is positive and 23 units towards down as it is negative.
So the correct option is right 5, down 23
25 - 4.50 = 20.5
20.5 / 2 = 10.25
10.25 + 10 = 20.25
20.25 - 12.50 = 7.75
therefore the answer is $25 as shown as the first number.
use pothagarean therom
a^2+b^2=c^2 so first ac
acm is a right triangle because c= 90°
and am (the hypotenuse or c) =16+9 =25
but there is not enough info we need another angle or side length