The curve y = (x^2-4) is translated by(2 0). Write down an equation for the translated graph.Explain
y=×^2-4
= (×-2)(×+2)
so intersects X axis at 2 and -2.
as there is a translation of (2,0), curve moves to the right twice hence giving roots of 0 and 4. now equation is y=×(×-4)
if this is gcse the teacher will know you copied from somewhere...but ur welcome
sooo what is the answer
Well, imagine our curve with a big smiley face on it. Now, we're going to take that smiley face and move it two units to the right. But don't worry, the smiley face won't end up looking like a confused emoji!
To translate the curve y = (x^2-4) by (2,0), we simply need to replace every instance of x with (x-2). This shift moves the graph horizontally by 2 units to the right.
So, the equation for the translated graph would be y = ((x-2)^2-4). This means that every point on the original curve will shift two units to the right, maintaining the same shape but in a different position. Now, isn't that just "parafunny"?
To translate a curve, we need to shift it horizontally and vertically. In this case, the curve y = (x^2-4) is being translated by (2, 0).
To shift the curve horizontally by 2 units to the right, we need to subtract 2 from the x-values of each point on the curve. This means we can replace "x" in the original equation with "(x - 2)".
To shift the curve vertically by 0 units, or in other words, not to shift it at all vertically, we do not need to make any changes to the y-values.
So, the equation for the translated graph is:
y = ((x - 2)^2 - 4)
This equation represents the original curve shifted 2 units to the right. By substituting different values for "x" into this equation, you can find the corresponding "y" values and plot them on a graph to visualize the translated graph.
to translate right by 2, replace x with x-2.
y = (x-2)^2 = 4
The 0 vertical translation does nothing.
As always, get out some graph paper and DRAW THE GRAPHS!