Answer:
Question 1.
Option A: 2m
Question 2
Option D: (1, 1) minimum point
Step-by-step explanation:
Question 1.
Let the original length of the garden <em>(before expansion)</em> be = x
The new length of the garden will be x + 10m
Recall that the garden has a square geometry. That means that its area is obtained by squaring any of its sides.
This means that
We can now solve for x
x cannot be a negative number, so the original length of a side of the garden is 2m. <em>Option A</em>
Question 2:
The coordinates of the vertex of the graph (turning point) are (x, y) [1,1]
To know whether it is a minimum or maximum point, we will have to check the coefficient of in the equation
The coefficient of in the equation is 1. <em>(If no number is present, just know that the coefficient is a one).</em>
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If the coefficient is positive, then the point is a minimum point. However, if it is negative, then the point is a maximum point.
Our coefficient is positive hence, the graph has a minimum point.