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;

The slope of the parallel line is 3/4
<h3>How to determine the slope?</h3>
The equation is given as:
3x - 4y = 8
Rewrite as:
4y = 3x - 8
Divide through by 4
y = 3x/4 - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope
By comparison:
m = 3/4
Parallel lines have equal slope
Hence, the slope of the parallel line is 3/4
Read more about slope at:
brainly.com/question/3493733
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The slope-intercept form: y = mx + b
m - a slope
y = 5x + 2/5
Answer: The slope m = 5.
Answer:

Step-by-step explanation:


Volume of rectangular prism = l*w*h
