The graph of f(x) translates down 4 units to give f(x) - 4
So the x coordinate stays the same but the y coordinate is 4 units less
So the corresponding point is (-3, 1)
Answer:
It has one solution which is a=1
Answer:
![f(x)=0.7(5)^x](https://tex.z-dn.net/?f=f%28x%29%3D0.7%285%29%5Ex)
Step-by-step explanation:
![\text{Exponential function: }y=a\cdot b^x](https://tex.z-dn.net/?f=%5Ctext%7BExponential%20function%3A%20%7Dy%3Da%5Ccdot%20b%5Ex)
It is two types of function.
- Exponential Growth: If function increase as value of x increase.
In this case, a>0 and b>1
- Exponential decay: If function decrease as value of x increase.
In this case, a>0 and 0<b<1
We need to choose exponential growth function.
![\text{Exponential Growth function: }f(x)=0.7(5)^x](https://tex.z-dn.net/?f=%5Ctext%7BExponential%20Growth%20function%3A%20%7Df%28x%29%3D0.7%285%29%5Ex)
Here a=0.75>0 and b=5>1
Therefore, This function is exponential growth.
The method used is Distributive Property.
<h3>What is Distributive property?</h3>
The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.
Given:
(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)
Here the property used is Distributive property.
Because distributive property in this way
a*(b+c)= a*b+ a*c
This is how a is being multiplied by with b and c.
Learn more about this Distributive property here:
brainly.com/question/4136433
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