Answer:
The equation of parabola in vertex form is
Step-by-step explanation:
Given coordinate of vertex is and the parabola passes through the point
So, the equation of parabola in vertex form is
Where is the coordinate of the vertex.
Plugging these value in equation we get,
Now, we will find the value of
Plug the coordinate
Plug the value of in the equation
So, the equation of parabola with vertex and passes through the point
is
≅
The correct answer is option D which is 0.798
The complete question is given below:-
For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
<h3>What is an equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Since we know that an exponential function is in the form:y= ab where,
a= Initial value,
b = For growth b is in form (1+r), where r is the rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
Therefore the correct answer is option D which is 0.798
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