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3 years ago

14

Helpppppppppppppppppppppppppppppppppppp

1 answer:

musickatia [10]3 years ago

8 0

The first equation is the inverse of $y=x^2-7$ . The inverse of a function is its opposite, so that for one function, x gives y, and for its inverse, y gives x. To find an inverse, we interchange x and y in the equation and solve for y. Answer choice A represents the inverse before it's simplified.

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Read 2 more answers

Sketch the graph of y=x^2-4x+3

NISA [10]

Answer:

see attached graph

Step-by-step explanation:

Given equation: $y=x^2-4x+3$

Standard form of a quadratic equation: $y=ax^2+bx+c$

where $c$ is the y-intercept

If $a > 0$ then the parabola opens upwards.

If $a < 0$ then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

$y=x^2-4x+3$

$\implies y=x^2-x-3x+3$

$\implies y=x(x-1)-3(x-1)$

$\implies y=(x-3)(x-1)$

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

$\implies \dfrac{dy}{dx}=2x-4$

Set to zero and solve for x:

$2x-4=0 \implies x=2$

Substitute $x=2$ into the original equation and solve for y:

$\implies y=(2)^2-4(2)+3=-1$

Therefore, the vertex (or turning point) is at (2, -1)

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3 years ago

A baby weighted 7.25 lb at birth at the end of 8 months the baby weighted 2 1/2 times its birth weight.how many pounds did the b

grandymaker [24]

$7.25 = 7 \frac{1}{4} = \frac{29}{4}$
$2 \frac{1}{2} = \frac{5}{2}$

$\frac{29}{4} \times \frac{5}{2} = \frac{145}{8} = 18 \frac{1}{8} \: pounds$

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3 years ago