Mathematics : asked on maxB0846
 15.11.2022

The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b, where a and b are integers.
Find the values of a and b.

. 1

Step-by-step answer

09.07.2023, solved by verified expert
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The turning point of a parabola is the vertex

Vertex form of a quadratic equation: The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48vertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

Therefore, a = 2 and b = 4

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Mathematics
Step-by-step answer
P Answered by Specialist

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: \sf y=a(x-h)^2+k

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

\sf y=x^2+ax+bvertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

\sf \implies y=1(x-(-1))^2+3

\sf \implies y=(x+1)^2+3

\sf \implies y=x^2+2x+1+3

\sf \implies y=x^2+2x+4

Therefore, a = 2 and b = 4

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below

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