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MrRissso [65]
4 years ago
8

Describe the graph of the function. y = 2x2 + 12x – 15

Mathematics
2 answers:
andriy [413]4 years ago
8 0
The gaph should be a parabola
artcher [175]4 years ago
7 0

Answer:

  • Interception on x-axis: (1.06, 0) and (-7.06,0)
  • Axis of Symmetry, x=-3
  • Minimum Point of y=-33

Step-by-step explanation:

To describe the graph of the function y=2x^2 + 12x - 15.

The function y=2x^2 + 12x - 15 is a quadratic function. All quadratic function have a parabolic curve. The direction to which the parabola opens is determined by the coefficient of x^2, If the coefficient of x^2, is positive as in the case above, the graph forms a downward "U" shape.

The solutions of the function y=2x^2 + 12x - 15 are 1.06 and -7,06, This means the graph intersects the x-axis at points 1.06 and -7.06.

To determine the axis of symmetry of a downward facing parabola,

We use the equation: x=-\frac{b}{2a}

a=2, b=12.

Axis of Symmetry=-\frac{12}{2X2}=-3

The minimum point is the value of y at the axis of symmetry.

f(-3)=2(-3)^2 + 12(-3) - 15=-33

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Step-by-step explanation:

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yanalaym [24]

Answer:

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4 0
4 years ago
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Please answer I need step by step explanation
olya-2409 [2.1K]

Answer:

10 cm

Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle

Long explanation/step by step:

It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.

   This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.

   I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)

   now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.

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belka [17]

Answer:

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4 0
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