HELP ASAP PLEASE BRAINLEST ANSWER !!!

2 answers:

7 0

F(x) has exactly one intercept at the origin. g(x) is transformed from f(x) by flipping it (the minus sign at the x2) and then lifting it by 7 units. This means that the resulting mountain parabola will have two x-intercepts. Mathematically, a parabola has exactly one x-intercepts when its discriminant equals 0, it has 2 intercepts for D>0.

$D= b^{2} -4ac$

For g(x), a=-1, b=0 and c=7, so D=28, meaning 2 intercepts!

vesna_86 [32]3 years ago

6 0

Answer:

The function started facing up with a vertex at (0,0) since 7 was added before squaring , the graph shifts 7 units up so the vertex at (7,0) also , the function is negative do the graph is pointing down.

This means that there are two x- intercepts in g(x) and there was one x- intercepts in f(x).

You might be interested in

Please I need this asap, my answer is wrong

zavuch27 [327]

Answer: $512\pi$

Step-by-step explanation:

Given

Equation of curve is $x=\sqrt{8+y}$

When this curve is rotated about the y-axis, then volume generated is given by

$V=\int_{a}^{b}\pi x^2dy$

When $x=0$ , $y=-8$

Put the limits and solve the integral

$\Rightarrow V=\int_{-8}^{24}\pi (8+y)dy\\\\\Rightarrow V=\pi\left ( 8y+\dfrac{y^2}{2}\right )_{-8}^{24}\\\\\Rightarrow V=\pi \left ( 8\times 32+\dfrac{24^2-8^2}{2}\right )\\\\\Rightarrow V=512\pi$

7 0

3 years ago

An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth rate during those 5 years is

ivanzaharov [21]

Answer:

$h(t) = 0.75t^2 + 4t + 12$

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

$dh/dt = 1.5t + 4$