Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:
1 answer:
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:
x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>Explanation:</h2>The pattern of the quadratic function is:
Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:
Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
- The red parabola has been shifted three units right and two units up to match the blue parabola.
This is so because, for any function:
We have the following transformations:
On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is . The y-intercept is (0, 11) is indicated in the figure.
Shifting graphs: brainly.com/question/10010217
#LearnWithBrainly
You might be interested in
Answer:
B. (6, 1)
Step-by-step explanation:
A graph of the solution space shows that the point (6, 1) is the only one that satisfies both inequalities.
___
<em>Verification</em>
3(6) +4(1) = 18 +4 = 22 < 24
3(6) -4(1) = 18 -4 = 14 > 12
_____
<em>Notes on the Solution</em>
The graphing calculator used here only recognizes variables x and y. Since g is the first variable in the ordered pair (g, z) we use x to represent g in the equations that are graphed. Similarly, y is used to represent z in the graphed equations.
You graph an inequality by graphing it as though it were an equation, then choosing the appropriate half-plane (one side of the line or the other) to shade as the solution space. Where the shadings from the two inequalities overlap, both are satisfied by points in that area.
In the first inequality, x and y values that are less than those on the line will satisfy the inequality, so the shading is below the line.
In the second inequality, x values greater than those on the line will satisfy the inequality, so the shading is to the right of the line.
In both cases, the line is graphed as a dashed line. This is because the points on the line do not satisfy the < or > conditions, so are not part of the solution set. (If one or both conditions were ≤ or ≥, then the corresponding line would be solid, and the points on the line would be part of the solution.)
