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2 years ago

What is the order, from narrowest to widest graph, of the quadratic functions f (x) = -10x2, f (x) = 2x2, and f (x) = 0.5x2?

Mathematics

2 answers:

Darina [25.2K]2 years ago

7 0

Answer:

f(x) = -10x², f(x) = 2x², and f(x) = 0.5x²

Step-by-step explanation:

Varvara68 [4.7K]2 years ago

3 0

The correct answer is:

f(x) = -10x², f(x) = 2x², and f(x) = 0.5x²

Explanation:

For a quadratic in standard form, f(x) = ax²+bx+c, the value of a describes the width and direction of the parabola. If a is positive, the parabola is open upward. If a is negative, the parabola is open downward.

If a < 1, a fraction or decimal, the graph is wider than the parent function f(x)=x². If a > 1, the graph is narrower than the parent function f(x)=x². The larger the value of a is (a > 1), the narrower the graph is. This makes the function with the decimal value of a the widest; the remaining graphs are in order of the value of a, least to greatest.

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The coordinates of quadrilateral ABCD are A(-1,-5), B(8,2), C(11,13), and D(2,6). Using coordinate geometry, prove that quadrila

Sliva [168]

Answer:

The quadrilateral ABCD is a rhombus.

Step-by-step explanation:

A rhombus is a quadrilateral having equal sides.

If ABCD is a rhombus then,

AB = BC = CD = DA

It is provided that the coordinates of the rhombus ABCD are:

A = (-1, -5)

B = (8, 2)

C = (11, 13)

D = (2, 6)

Use the distance formula to compute the lengths of AB, BC, CD and DA.

The distance formula is:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Compute the length of AB:

$AB=\sqrt{(8-(-1))^{2}+(2-(-5))^{2}}=\sqrt{130}=11.4$

Compute the length of BC:

$BC=\sqrt{(11-8)^{2}+(13-2)^{2}}=\sqrt{130}=11.4$

Compute the length of CD:

$CD=\sqrt{(2-11)^{2}+(6-13)^{2}}=\sqrt{130}=11.4$

Compute the length of DA:

$DA=\sqrt{(2-(-1))^{2}+(6-(-5))^{2}}=\sqrt{130}=11.4$

Thus, the lengths AB, BC, CD and DA are equal, i.e. all sides are of length 11.4.

Hence proved that the quadrilateral ABCD is a rhombus.

7 0

3 years ago

Actually help... if u dont hve the answer, dont respond.

Dimas [21]

Answer:

y = 1/3*x -3

Step-by-step explanation:

Method 1:

Grab two random points from the line.

(0,-3) and (3,-2)

Using the Point-Slope Form solve for m.

(-3 - (-2)) = m * (0 - (3))

-1 = m * (-3)

m = 1/3

Turning Point-Slope form into Slope intercept Form.

(y - (-3)) = 1/3 * (x - 0)

y + 3 = 1/3x

y = 1/3 - 3

Method 2:

Look at the y-intercept since y-int becomes our b. b = -3

From the y-int count rise/run as thats our Slope m. m = 1/3

Slope-intecept Form:

y = 1/3*x -3

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1 year ago

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Terry has a box that originally held 64 crayons. She is missing 25% of the crayons. How many crayons are missing?

andreev551 [17]

16 because you do 64 times .25 and get 16
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2 years ago

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Oduvanchick [21]

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Step-by-step explanation:

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3 years ago

Solve (X + 6)(x - 4) = -16 O {-4, 6) O {-4, 2] O (-12, 22)

masya89 [10]

Answer:

x=2 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

(x+6)(x−4)=−16

Step 1: Simplify both sides of the equation.

x2+2x−24=−16

Step 2: Subtract -16 from both sides.

x2+2x−24−(−16)=−16−(−16)

x2+2x−8=0

Step 3: Factor left side of equation.

(x−2)(x+4)=0

Step 4: Set factors equal to 0.

x−2=0 or x+4=0

x=2 or x=−4

6 0

2 years ago