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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.
How can you use the y-intercept and growth factor to write an equation for an exponential function?
To write an equation for an exponential function using the y-intercept and growth factor, start with the general form ( y = ab^x ), where ( a ) represents the y-intercept (the value of ( y ) when ( x = 0 )) and ( b ) is the growth factor (the rate of growth). The y-intercept can be directly substituted for ( a ), giving you ( y = a \cdot b^x ). If you know the growth factor ( b ), simply insert its value along with the y-intercept to form the complete equation.
What possible values can the growth factor have in an exponential decay equation?
Any number below negative one.
What equation takes the y equals the absolute value of x and compresses it vertically by a factor of 0.5?
y = 0.5 |x|
What is a growth factor in exponential growth?
implementation of exponential groth
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.
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.
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
How can you use the y-intercept and growth factor to write an equation for an exponential function?
To write an equation for an exponential function using the y-intercept and growth factor, start with the general form ( y = ab^x ), where ( a ) represents the y-intercept (the value of ( y ) when ( x = 0 )) and ( b ) is the growth factor (the rate of growth). The y-intercept can be directly substituted for ( a ), giving you ( y = a \cdot b^x ). If you know the growth factor ( b ), simply insert its value along with the y-intercept to form the complete equation.
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|.
What is decay factor?
The constant factor that each value in an exponential decay pattern is multiplied by the next value. The decay factor is the base in an exponential decay equation. for example, in the equation A= 64(0.5^n), where A is he area of a ballot and the n is the number of cuts, the decay factor is 0.5.
How do you find the scale factor of the exponential equation?
m=24*(1.135)*1
Write an equation for an exponential growth function where the initial population is 76 and the population quadruples during each time period?
The equation for this exponential growth function is: P(t) = 76 * 4^t, where P(t) is the population at time t and 4 represents the quadrupling factor. The initial population at time t=0 is 76.
What possible values can the growth factor have in an exponential decay equation?
Any number below negative one.
What equation takes the y equals x and compresses it vertically by a factor of 0.5?
y = 0.5 x
What equation takes the y equals the absolute value of x and compresses it vertically by a factor of 0.5?
y = 0.5 |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)
