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WINSTONCH [101]
4 years ago
11

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in

the graph of g(x)=-x^2. Be sure to include the transformations that occurred between tye parent function f(x) and its image g(x)
Mathematics
1 answer:
Ahat [919]4 years ago
7 0
The graph of g(x) = -x^2 is a reflection in the x-axis of the graph of f(x) = x^2. Both graphs have one x-intercept as both graphs have their vertices at the origin, (0,0).
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Step-by-step explanation:

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Read 2 more answers
Use the discriminant to find the number and type of solution for x^2+6x=-9​
likoan [24]

Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

\displaystyle \large{D =  {b}^{2}  - 4ac}

First, arrange the expression or equation in ax^2+bx+c = 0.

\displaystyle \large{ {x}^{2}  + 6x =  - 9}

Add both sides by 9.

\displaystyle \large{ {x}^{2}  + 6x + 9 =  - 9 + 9} \\  \displaystyle \large{ {x}^{2}  + 6x + 9 =  0}

Compare the coefficients so we can substitute in the formula.

\displaystyle \large{a {x}^{2}  + bx + c =  {x}^{2}  + 6x + 9 }

  • a = 1
  • b = 6
  • c = 9

Substitute a = 1, b = 6 and c = 9 in the formula.

\displaystyle \large{D =  {6}^{2}  - 4(1)(9)} \\  \displaystyle \large{D =  36 - 36} \\  \displaystyle \large{D =  0}

Since D = 0, the type of solution is one real root.

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3 years ago
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