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Inessa [10]
3 years ago
15

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

\displaystyle [-1, -4] → Vertex \\ [0, -3] → y-intercept \\ [-3, 0], [1, 0] → x-intercepts

Step-by-step explanation:

The y-intercept is your <em>C</em>, which is −3.

Now, to get both x-intercepts, factor the trinomial:

\displaystyle [x - 1][x + 3]

When set equal to zero, you will get −3 and 1.

Finally, to get the vertex, convert this Quadratic Equation to <em>Vertex Form</em> by completing the square, \displaystyle [\frac{b}{2}]^2:

\displaystyle f(x) = x^2 + 2x - 3 \\ f(x) = x^2 + 2x + 1 + k \\ f(x) = x^2 + 2x + 1 - 4 \\ \\ f(x) = [x + 1]^2 - 4 → [-1, -4] = Vertex

* Recall, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.

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<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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Learn more about quadratic equations here:

brainly.com/question/2263981


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