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If you vertically stretch the absolute value parent function f(x) x by a factor of 3 which of these is the equation of the new function?
It is f(x) = 3|x|.
If you horizontally compress the exponential function f(x) 2x by a factor of 4 which of these is the equation of the new function?
It is f(x) = 8x.
What is the corner point of a graph of an absolute value equation?
It is sometimes the point where the value inside the absolute function is zero.
What is the meaning of fabs in quadratic equation in c program?
In the C Programming Language, the fabs function returns the absolute value of a floating-point number
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
If you vertically shift the linear parent function F(x) x up 2 units then horizontally compress it by multiplying by 7 what is the equation of the new function G(x)?
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If you vertically stretch the absolute value parent function f(x) x by a factor of 3 which of these is the equation of the new function?
It is f(x) = 3|x|.
If f(x) x2 is vertically compressed by a factor of 8 to g(x) what is the equation of g(x)?
To vertically compress the function ( f(x) = x^2 ) by a factor of 8, you multiply the function by ( \frac{1}{8} ). Therefore, the equation of ( g(x) ) becomes ( g(x) = \frac{1}{8}x^2 ). This transformation reduces the output values of the original function by a factor of 8.
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|.
How does a monotonic transformation affect the shape of a function's graph?
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
If you horizontally compress the exponential function f(x) 2x by a factor of 4 which of these is the equation of the new function?
It is f(x) = 8x.
What is the corner point of a graph of an absolute value equation?
It is sometimes the point where the value inside the absolute function is zero.
What is an absolute value equation that equals 13?
An absolute value equation that equals 13 can be expressed as |x| = 13. This equation indicates that the value of x can be either 13 or -13, since the absolute value function measures the distance of a number from zero, regardless of its sign.
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 shift the absolute value parent function F(x) x right 9 units what is the equation of the new function?
To shift the absolute value parent function ( F(x) = |x| ) right by 9 units, you replace ( x ) with ( x - 9 ). Therefore, the equation of the new function becomes ( F(x) = |x - 9| ). This transformation moves the vertex of the absolute value function from the origin to the point (9, 0).
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.
