We can transform this function by adding a constant to the original equation y=x^2. A new transformed function g(x) is given by g(x)=f(x)+c (where f(x)=y)
c>0 moves it up
c<0 moves it down
So: y=x^2+c
y=x^2-20
The new graph will be 20 units down the original.
Answer:
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
if a> 0 then the parabola open upward (vertex is a minimum)
if a< 0 then the parabola open downward (vertex is a maximum)
In this problem we have
Convert to vertex form
Complete the square
--------> equation in vertex form
The vertex is the point 
the parabola open upward (vertex is a minimum)
Answer:
= 70.8676471
Step-by-step explanation:
9514 1404 393
Answer:
3. m∠A < 80°
Step-by-step explanation:
The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.
If we assume that angle measures cannot be zero, then we must have ...
m∠A +m∠N = 80°
m∠A = 80° -m∠N
Since m∠N > 0, the measure of angle A must be less than 80°.
This conclusion matches choice 3.
8z-8=6z+8
8x-6z=8+8
2z=16
Z=8
