Vertex form of -x^2-8x-16

Mathematics

1 answer:

WARRIOR [948]2 years ago

6 0

Answer:

$y = - (x + 4)^{2}$

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Y intercept of this graph

Aleksandr [31]

Answer:

The y intercept is - 2

Step-by-step explanation:

Because in the y axis the line crosses - 2

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2 years ago

Lindy puts £ 78 into an account which pays inrerest at a rate of 5% per anum. What will be the simple interest after 6 years .wh

Alika [10]

Answer:

Interest: £23.4

Amount: £101.4

Step-by-step explanation:

6 × 5/100 × 78 = 23.4

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Read 2 more answers

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$