To shift the function ( H(x) = 4x^2 - 16 ) nine units to the right, you replace ( x ) with ( x - 9 ), resulting in ( H(x - 9) = 4(x - 9)^2 - 16 ). To shift the function down by 1 unit, you subtract 1 from the entire equation, giving ( H(x - 9) - 1 = 4(x - 9)^2 - 17 ). Thus, the new equation is ( H(x) = 4(x - 9)^2 - 17 ).
It would be a straight line without any ends, going from lower left to upper right at 45 degrees. It would cross the y-axis 3 units below the origin, and it would cross the x-axis 3 units to the right of the origin. You can use those two points to draw the line, and then keep going because the graph of the equation has no ends.
"7 units to the right" typically refers to a movement or shift along a horizontal axis, such as on a number line or a graph. If you start at a specific point, moving 7 units to the right means you would add 7 to that starting value. For example, if you begin at 3, moving 7 units to the right would place you at 10.
Normally it would be a point which is 2.5 units to the right of the origin and 3.5 units up.
The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).
The slope would be -2 (moving 2 units down and one across). When you have a linear equation, the slope is always the variable's coefficient.
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
1000 millimeters equal how many centimeters
For a start, you would need an initial equation. A horizontal translation of ANY equation can be achieved by replacing every ocurrence of "x" with "x - a", where "a" is the amount you want to move the graph to the right. For example, replacing every ocurrence of "x" by "x - 10" will move your graph 10 units to the right.
It would be a straight line without any ends, going from lower left to upper right at 45 degrees. It would cross the y-axis 3 units below the origin, and it would cross the x-axis 3 units to the right of the origin. You can use those two points to draw the line, and then keep going because the graph of the equation has no ends.
"7 units to the right" typically refers to a movement or shift along a horizontal axis, such as on a number line or a graph. If you start at a specific point, moving 7 units to the right means you would add 7 to that starting value. For example, if you begin at 3, moving 7 units to the right would place you at 10.
Reactants are on the left and products are on the right.
It would be shifted down
Normally it would be a point which is 2.5 units to the right of the origin and 3.5 units up.
The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).
To find the circumference of a circle the equation would be pi multiplied by diameter, or radius squared. the answer would be 31.415 units squared.
Move 3 over the right side of the equation so the equation would be x = -3. The graph of this would be a verticle line at x= -3
The slope would be -2 (moving 2 units down and one across). When you have a linear equation, the slope is always the variable's coefficient.