The axis of symmetry is at x = -3.
This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line = 
m = 
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image
<h3>Which answer choice compares segment E'F' to segment EF?</h3>
By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;
- E(0, 1), F(1, 1), G(2, 0), and H(0, 0)
- E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)
Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Remark:
- A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
- A segment in the image has the same length as its corresponding segment in the pre-image.
- A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
- A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Read more on length of segments;
brainly.com/question/24778489
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