For the points in the parabola, we have:
- A = (1, 0)
- B = (3, 0)
- P = (0, 3)
- Q = (2, -1).
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How to identify the points on the parabola?</h3>
Here we have the quadratic equation:
y = (x - 1)*(x - 3)
First, we want the coordinates of A and B, which are the two zeros of the parabola.
Because it is already factorized, we know that the zeros are at x = 1 and x = 3, so the coordinates of A and B are:
A = (1, 0)
B = (3, 0).
Then point P is the y-intercept, to get it, we need to evaluate in x = 0.
y = (0 - 1)*(0 - 3) = (-1)*(-3) = 3
Then we have:
P = (0, 3)
Finally, point Q is the vertex. The x-value of the vertex is in the middle between the two zeros, so the vertex is at x = 2.
And the y-value of the vertex is:
y = (2 - 1)*(2 - 3) = 1*(-1) = -1
So we have:
Q = (2, -1).
If you want to learn more about quadratic equations:
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Answer:
b
Step-by-step explanation:
2(h-8)-h=h-16
step 1 distribute 2 to whats in the parenthesis
2h-16-h=h-16
step 2 combine like terms
h-16=h-16
add 16 to each side
h=h
subtract h from each side
0=0
this would have an infinite amount of solutions
Answer:
g=64.8 meters
Step-by-step explanation:
= 
69.6×24.3= 26.1×g
1,691.28=26.1g
64.8=g
g=64.8
Hope this helps! :)
Oh, I got the order of the ratios wrong, I'm sorry.
I just corrected it.
Answer:
21 to 3
70 to 10
Step-by-step explanation:
28÷7 = 4
21÷7 = 3
70÷7 = 10
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
