Answer: -9 = a(1 - 3)² + 3
Step-by-step explanation:
Vertex Form Equation:
y = a(x - h)² + k
vertex: (h, k) which means
h = 3
k = 3
because your vertex is (3, 3).
Your point is (1, -9) which is (x, y).
This means
x = 1
y = -9
Now, plug everything into your Vertex Form Equation:
-9 = a(1 - 3)² + 3
That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.
If a is positive, the parabola opens up. If a is negative, the parabola opens down.
Hope this helps!
4⁶ / 4⁸
Since the 'bases' are the same on top and bottom, you can
just subtract the bottom exponent from the top one.
4⁶ / 4⁸
= 4⁶⁻⁸
= 4⁻²
= 1/4²
= 1/16
Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1
Solution: the slope will be -1
To find the slope of the expression:
We need to remember that this is the Slope-intercept Form of the line equation:
Where
m = slope
b is the y-intercept.
Therefore, the slope of the line equation above is m = 3.
That’s the answer if you multiply .
