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3 years ago

What is the equation of the quadratic function graphed below?

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

Answer:

y = -3(x + 1)² + 9

Step-by-step explanation:

y = a(x - h)² + k, where (h, k) is the vertex

The vertex of the quadratic function is (-1, 9)

The only equation listed that has a vertex at (-1, 9) is:

y = -3(x + 1)² + 9

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Solve the given inequality and graph the solution on a number line.

Vinvika [58]

$-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)$

Answer\ in\ attachment.

5 0

3 years ago

the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices

lakkis [162]

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

$O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2$

O(1,0,2)

Value of point O through BD.

$O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6$

Therefore, the fourth vertices is D( -1,-4,6 ).

7 0

2 years ago

Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove by SSS or SAS, then write

egoroff_w [7]

<h2><u>Answer (d</u>) :</h2>

These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :

Given :

In triangle 1 and 2 :

A side in triangle 1 and a side in triangle 2 are equal.
Another side in triangle 1 and triangle 2 is equal.
The angle between the equivalent sides is also equal.

Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.

4 0

2 years ago

Simply the expression <br> -10 + 5y + 2x- 6y

algol [13]

Answer: 2x−y−10

Step-by-step explanation:

Simplify the expression.

2x*1 = 2x

6y-5y = 1y = y

10 = 10

5 0

3 years ago

F(x) = -2x – 2 for x = = 3.

denpristay [2]

Answer:

f(x) = -8

Step-by-step explanation:

f(x) = -2(3) - 2

f(x) = -8

4 0

2 years ago