Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:
1 answer:
The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
<h3>How to determine the solutions?</h3>The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
Read more about system of equations at:
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Answer:
The standard equation of the parabola is:
Step-by-step explanation:
An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.
We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.
Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:
Then the equation of the parabola becomes: