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Is x2 plus 8 a function?
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
If you vertically strech the exponential function f x 2 x by the factor 4 what is the equation of the new function?
To vertically stretch the exponential function ( f(x) = 2^x ) by a factor of 4, you multiply the entire function by 4. The new equation becomes ( g(x) = 4 \cdot 2^x ). This transformation increases the output values of the function by a factor of 4 for each input ( x ).
If you vertically shift the linear parent function F(x) x down six units what is the equation of the new function?
To vertically shift the linear parent function ( F(x) = x ) down six units, you subtract 6 from the function. The new equation becomes ( F(x) = x - 6 ). This transformation moves the entire graph downward by 6 units while maintaining its linear characteristics.
Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?
To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.
Is y equals 5x2 a function?
Yes, the equation ( y = 5x^2 ) represents a function. In this equation, for every input value of ( x ), there is exactly one output value of ( y ), as the equation defines ( y ) in terms of ( x ). Specifically, it is a quadratic function, which is a type of polynomial function.
What is the equation for the absolute value function stretched vertically by a value of 4 and reflected across the x axis?
Start with y = |x|, then y = 4|x|, and then y = -4|x|.
Write the function that is vertically stretched by a factor of 3 and translated 2 units left from its parent function?
y = 3*f(x + 2)
How is a function stretched or compressed?
A function is stretched vertically when its values are multiplied by a constant factor greater than 1, making it taller. It is compressed vertically when its values are multiplied by a constant factor between 0 and 1, making it shorter. Additionally, a function is stretched horizontally when the input values are divided by a constant factor greater than 1, making it narrower. It is compressed horizontally when the input values are divided by a constant factor between 0 and 1, making it wider.
Is x2 plus 8 a function?
x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.
If you vertically strech the exponential function f x 2 x by the factor 4 what is the equation of the new function?
To vertically stretch the exponential function ( f(x) = 2^x ) by a factor of 4, you multiply the entire function by 4. The new equation becomes ( g(x) = 4 \cdot 2^x ). This transformation increases the output values of the function by a factor of 4 for each input ( x ).
Can a cubic function be translated vertically?
Yes, a cubic function can be translated vertically. This is achieved by adding or subtracting a constant to the function's equation. For example, if the original cubic function is ( f(x) = ax^3 + bx^2 + cx + d ), translating it vertically would result in ( f(x) + k ), where ( k ) is the amount of vertical translation. This shifts the entire graph of the function up or down without changing its shape.
If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?
f(x) = |f(x)|/3
Does the equation y equals 2x plus 1 represent a function?
The [ 2x + 1 ] represents a function of 'y' .
If you vertically shift the linear parent function F(x) x down six units what is the equation of the new function?
To vertically shift the linear parent function ( F(x) = x ) down six units, you subtract 6 from the function. The new equation becomes ( F(x) = x - 6 ). This transformation moves the entire graph downward by 6 units while maintaining its linear characteristics.
Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?
To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.
Is y equals 5x2 a function?
Yes, the equation ( y = 5x^2 ) represents a function. In this equation, for every input value of ( x ), there is exactly one output value of ( y ), as the equation defines ( y ) in terms of ( x ). Specifically, it is a quadratic function, which is a type of polynomial function.
Which equation represents function where the y-coordinate is 7 times the x-coordinate?
The equation that represents a function where the y-coordinate is 7 times the x-coordinate is given by ( y = 7x ). This linear equation indicates that for any value of ( x ), the corresponding ( y ) value is seven times that value. It represents a straight line with a slope of 7 that passes through the origin.
