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ser-zykov [4K]
3 years ago
8

Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).

Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0
X-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
 
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),

So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6
Bess [88]3 years ago
5 0
 Answer: y = 5(x + 1.6)(x + 3.2)

∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞

<em>x-intercept = (-1.6, 0) and (-3.2, 0)</em>

=====>   y = a(x + 1.6)(x + 3.2)

<em>Given y-intercept = (0, 25.6)</em>

=====>  25.6 = a( 0 + 1.6)(0 + 3.2) 
=====>  25.6 = 5.12a
=====>  a = 5

<em>Plug in a = 5 into the equation
</em>
=====>  y = 5(x + 1.6)(x + 3.2)
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how can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you
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The reason how the expression are equivalent given below:

<h3>What is Distributive Property?</h3>

Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting.

The Complete question is:

How can you use distributive property to write an expression equivalent to the one given above? Use reasoning to explain how you know the expressions are equivalent.

Distributive property represents distribute the outside number among the number or digits in parenthesis.

For Example: Solve the expression 7(20 + 3) using the distributive property of multiplication over addition.

When we solve the expression 7(20 + 3) using the distributive property,

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Hence,  7(20) + 7(3) = 140 + 21 = 161.

Learn more Distributive Property here:

brainly.com/question/5637942

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