Answer:
y = 1/2 x²
Step-by-step explanation:
The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.
When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.
Our only option then is
y = 1/2 x²
Midpoint formula = (-9 + 6) / 2 = -3/2
Answer:
Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)
Step-by-step explanation:
The relationship between two lines AB and A’B’ is A'B'=3AB.
It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.
The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.
Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.
By cross multiplication we get
The length of segment A'B' is 3 times of AB.
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Recall that the y-intercept is when the function passes the y-axis. This happens when x=0. Therefore, we can find our y-intercept by plugging x=0 into our function and solving for y.
6x + 9y = 18
6(0) + 9y = 18
0 + 9y = 18
9y = 18
y =2
Thus, our y-intercept is when x = 0 and y = 2, or (0,2).
