The vertical shifts in graphs are caused by a constant added to the output (y - axis).
<h3>What is vertical shift in a graph?</h3>
Vertical shifts are outside changes that affect the output (y- axis) values and shift the function up or down (vertical direction).
Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right
<h3>The cause of vertical shift in a graph</h3>
The vertical shift results from a constant added to the output (y - axis). The graph will move up if the constant added is positive OR it will move down if the constant is negative.
Thus, the vertical shifts in graphs are caused by a constant added to the output (y - axis).
Learn more about vertical shifts in graph here: brainly.com/question/27653529
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Answer:

Step-by-step explanation:
Vertex form of a quadratic equation;

Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

Now substitute in the given point; ( -1, 9) and solve for a;

Hence the equation in vertex form is;

In standard form it is;

Answer:
25
Step-by-step explanation:
Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
=
, substitute values
=
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b =
≈ 9.5 ( to the nearest tenth )
Also
= 
=
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c =
≈ 14.7 ( to the nearest tenth )