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Lelechka [254]
3 years ago
14

Choose the correct x-intercepts for the following quadratic function.

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0
Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.

We can still have some fun with answer choice  <span>x = 1, x = 3:

An associated quadratic function would have the form y = a(x-1)(x-3).  Just supposing that the point (2, 5) were on the graph, then this   </span>y = a(x-1)(x-3) would become   5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.

Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).

Complete the square to find the vertex:

Steal y = x^2 - 4x + 3 for a moment and complete the square:

x^2 - 4x + 3    =  x^2 - 4x + 4 - 4 + 3, or (x-2)^2  -  1

Subbing this back into    y = -5(x^2 - 4x + 3), we get

y = -5 [ (x-2)^2  -1 ], or   y = -5(x-2)^2 + 5.  This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.  

Having fun yet?



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The equation F=
tensa zangetsu [6.8K]

Answer:62

Step-by-step explanation:

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C=30

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F=62

8 0
3 years ago
H(a) = a^2 + 3a; Find h(-10)
Colt1911 [192]
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6 0
2 years ago
8% of 70 is what number? (please explain)
Bingel [31]
Do a proportion
8/100= x/70
Cross multiply and divide
70 x 8= 560
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Answer is 5.6

You also could have done .08 x 70 which is also 5.6
7 0
3 years ago
How do I figure this out?
Ilia_Sergeevich [38]

∠UXW = 36°

∠WZX = 66°

∠UWY = 48°

∠XYZ = 42°


Use the Alternate Exterior Angles Theorem. Always remember that a triangles angles add up 180°, so you can subtract the angles you already know in a triangle to figure out the remaining angle.

8 0
2 years ago
A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, a
densk [106]
The correct answer for the question that is being presented above is this one: "C.) The graph of the function is positive on (–2, 4)." A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, then <span>C.) The graph of the function is positive on (–2, 4).</span>
6 0
3 years ago
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