Mathematics: 5what is the range of y = -x2 - 2x + 3? ax 4 b x2-4 c y 4 dy2-4

The first thing I would like to do is to get a little more comfortable and I can get a little more comfortable and I can get a little more comfortable...

5what is the range of y = -x2 - 2x + 3? ax 4 b - id522344269414, haleyrene2663

Ответ:

sdlesley66

13.01.2022

Mathematics

$y\leq 4$

Step-by-step explanation:

we have

$y=-x^{2}-2x+3$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

The vertex is the point (h,k)

The range of the function is the interval (-∞,k]

$y\leq k$

Convert the quadratic equation in vertex form

Factor -1 leading coefficient

$y=-(x^{2}+2x)+3$

Complete the square

$y=-(x^{2}+2x+1)+3+1$

$y=-(x^{2}+2x+1)+4$

Rewrite as perfect squares

$y=-(x+1)^{2}+4$

The vertex is the point (-1,4)

therefore

The range is $y\leq 4$

0,0(0 оценок)

5what is the range of y = -x2 - 2x + 3?
ax< 4
b x2-4
c y< 4
dy2-4

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

5what is the range of y = -x2 - 2x + 3? ax< 4 b x2-4 c y< 4 dy2-4

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

5what is the range of y = -x2 - 2x + 3?
ax< 4
b x2-4
c y< 4
dy2-4