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seraphim [82]
3 years ago
6

What do the a in the equation y= ax2 + bx + c tell you about the parabola? (75 points)

Mathematics
2 answers:
ELEN [110]3 years ago
7 0

The EASIEST way to do it, is actually start with the form a(x-b)(x-c) or intercept form since you have intercepts  

x ints at (0,0) and (4,0) so y=ax(x-4)  

sub in (2,-4) it doesn't really matter whether or not its a vertex  

-4=2a(2-4)  

a=1  

so y=x(x-4)  

expand to get y=x^2-4x which is y=ax^2+bx+c form where a=1, b=-4, c=0

scoundrel [369]3 years ago
6 0

Answer:

Step-by-step explanation:

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2p - 2q = -6<=> 2p - 2*(7-3p) = -6<=> 2p - 14 + 6p = -6<=> 8p = -6 + 14 = 8<=> p = 1 & q = 4
3.3x - 2y = 1=> x = (1+2y)/3
8x + 3y = 2<=> 8*(1+2y)/3 + 3y = 2<=> 8*(1+2y)/3 - 2 = -3y<=> 3*(8*(1+2y)/3 - 2) = -3*(3y)<=> 8*(1+2y) - 6 = -9y<=> 8 + 16y - 6 = -9y<=> 2 = -25y<=> y = -2/25 & x = 7/25
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3 years ago
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DiKsa [7]

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The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

x^2 -7x + 10

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

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Answer:

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Step-by-step explanation:

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