Answer:
g(x)=x² -3
Step-by-step explanation:
Vertical and horizontal translations are the displacements of a function in the coordinate system (x, y). By transferring the graphical representation of a given function, we obtain representations of related functions. The graph of the translated function will always be the same as the original.
When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down.
So, the algebraic expression of the parabola that results from moving the parabola f (x) = x² vertically is f (x) = x² + q
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If q> 0, the parabola moves q units up.
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If q <0, the parabola moves q units down.
So the vertex of the parabola is at the point (0, q).
So if the function f (x) = x² is translated 3 units down, the function g (x) will be:
<u><em>g(x)=x² -3</em></u>
The correct answer is x>0. This is because the circle is on 0, is hollow, and has an arrow that points right.
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.</span>
For each if the differential equation given in Exercises 1 to 12 find the General Solution. xLogx
+y =
Logx...... Hope This Helps
