This is an example of the
difference of squares.
So to find the product of <span>(9y</span>²<span> – 4x)(9y</span>²<span> + 4x), we use the formula for the difference of squares.
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Answer:
y = 3
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
Point (3, 3)
Slope<em> m</em> = 0
<u>Step 2: Find</u>
<em>When the slope is equal to 0, you will have an equation of a horizontal line at a y-coordinate point.</em>
y-coordinate: 3
Equation: y = 3
Square roots and squaring are always nonlinear.
Answer:
3, 6, 9
Step-by-step explanation:
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
