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4 years ago

What does changing the "a" variable do to the graph of a quadratic function?

Mathematics

1 answer:

const2013 [10]4 years ago

3 0

Answer: Given the quadratic equation $ax^{2}$ + bx + c =0

If the value of a is positive, the the graph is a parabola with u - shape, that means minimum point will exist , but if the value of a is negative , then the graph will be a parabola with n - shaped , that is maximum point will exist

Step-by-step explanation:

You might be interested in

Which polynomial expression in factored form has2 as a leading coefficient with 0, -1, 6, and -4 as zeros?

ziro4ka [17]

Answer:

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

Step-by-step explanation:

For a polynomial p(x) with leading coefficient A, and zeros: {x₁, x₂, ...,xₙ}

The polynomial can be written in the factored form as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know:

Leading coefficient equal to 2, and the zeros are: 0, -1, 6, and -4

Then the polynomial can be written as:

p(x) = 2*(x - 0)*(x - (-1))*(x - 6)*(x - (-4))

p(x) = 2*x*(x + 1)*(x - 6)*(x + 4)

The wanted polynomial is this one, and we can expand it to get:

p(x) = (2*x^2 + 2*x)*(x - 6)*(x + 4)

p(x) = (2*x^3 - 12*x^2 + 2*x^2 - 12*x)*(x + 4)

p(x) = (2*x^3 - 10*x^2 - 12*x)*(x + 4)

p(x) = 2*x^4 + 8*x^3 - 10*x^3 - 40*x^2 - 12*x^2 - 48*x

p(x) = 2*x^4 - 2*x^3 - 52*x^2 - 48*x

3 0

3 years ago

Order numbers 11/8,1.405, and1.45 smallest to largest

Diano4ka-milaya [45]

Step-by-step explanation:11/8 is 12.5 goes into one hundred 8 times so 12 x 11 is 137.5so then turn decimals to a percent 1.405 is 140.5 1.45 is 145 so the it is 137.5 140.5,145

3 0

3 years ago

(09.01)

ratelena [41]

Answer:

y = x2 - 4x + 2 ; y=x²-4

Step-by-step explanation:

Axis of symmetry = - b /2a

y=x²-2

a = 1 ; b = - 2

x = - (-2) / 2(1)

x = 2/2 = 1

y = x2 - 4x + 2

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

y = x2 + 4x + 2

a = 1 ; b = 4

x = - 4 / 2(1)

x = - 4/2 = - 2

y=x²-4

a = 1 ; b = - 4

x = - (-4) / 2(1)

x = 4/2 = 2

6 0

3 years ago

The bottom shape is a square prism with base edges of 5 feet and a height of 15 feet. What is the volume of the composite figure

alina1380 [7]

If the base of the prism is five an all sides with a height of 15 the volume would be 375 for the prism

if the pyramid has a base width and length of five, like the prism, it would have a volume of 25

the whole shape/construct together has a volume of 400ft^3

7 0

3 years ago

Read 2 more answers

Cuánto ganaría un accionista que tiene 100 acciones, si cada acción que él compró aumenta de $20.00 a $30.00

vlada-n [284]

Answer:

$2,000 and $3,000

Step-by-step explanation:

The computation is shown below:

Given that

The Number of shares is 100

The Increase from $20 to $30

If the per share is $20, so the earning of the shareholder is

= 100 shares × $20

= $2,000

And ,if the per share is $30, so the earnings of the shareholder is

= 100 shares × $30

= $3,000

5 0

3 years ago