Can someone please help??

The graph of a quadratic function contains the points

masya89 [10]

Answer:

Shawn is correct.

Step-by-step explanation:

Let the quadratic function is g(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola.

Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).

Therefore, equation of the parabola will be,

g(x) = a(x - 0)²+ 0

g(x) = ax²

for a point (1, 9) which lies on the graph,

9 = a(1)²

a = 9

g(x) = 9x² (here a > 1)

Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).

Shawn is correct.

3 0

3 years ago

Write the expression 4 to the 4th(4 to the -7)(4)

Alenkasestr [34]

Answer:

-4^4(4^7), in that case, the answer would be (B) -4^11

Step-by-step explanation:

Hope this helps

3 0

3 years ago

Sven has 11 more than twice as many customers as when he started selling newspapers. He now has 73 customers. How many did he ha

Amiraneli [1.4K]

73-11 = 62

62/2= 31

He started with 31 costumers

3 0

2 years ago

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Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What

sveticcg [70]

Answer:

Area of rectangle = $196\,m^2$

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function $y=f(x)$ has a point of maxima at $x=x_0$ if $f''(x_0)$

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

$=2(x+y)$

Also, perimeter of rectangle is equal to 56 m.

So,

$56=2(x+y)\\x+y=28\\y=28-x$

Let A denotes area of rectangle.

A = length × width

$A=xy\\=x(28-x)\\=28x-x^2$

Differentiate with respect to x

$\frac{dA}{dx}=28-2x$

Put $\frac{dA}{dx}=0$

$28-2x=0\\2x=28\\x=14$

Also,

$\frac{d^2A}{dx^2}=-2$

At x = 14, $\frac{d^2A}{dx^2}=-2$

So, x = 14 is a point of maxima

So,

$y=28-x=28-14=14$

Area of rectangle:

$A=xy=14(14)=196\,m^2$

Length of rectangle = 14 m

Width of rectangle = 14 m

5 0

3 years ago

Basic factoring. Please help!

exis [7]

Answer:

3rd Option: -1(x + 15)

Step-by-step explanation:

When we factor our a negative 1, we take the opposite signs of what is given:

-1(x + 15)

To check, we simply just redistribute to check if it matches the original expression:

-x - 15

So the 3rd option is the correct choice.

7 0

3 years ago

Read 2 more answers