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1 year ago

5

Given, f(x) = x²,describe the transformation of f(x) to f (x - 1) + 4 using key features of the graph.

1 answer:

8_murik_8 [283]1 year ago

4 0

The transformation can be written as follows:

The x values will be shifted 1 unit to the right and the y values will be shifted 4 unit upwards.

This is the transformation of

$f(x)=x^2\rightarrow(x-1)^2+4_{}$

We can see above the transformation graphically.

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What are the solutions of the quadratic equation? 4x^2+34x+60=0

insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^{2} +34x+60=0$

so

$a=4\\b=34\\c=60$

substitute in the formula

$x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}$

$x=\frac{-34(+/-)\sqrt{196}} {8}$

$x=\frac{-34(+/-)14} {8}$

$x_1=\frac{-34(+)14} {8}=-\frac{20}{8}=-\frac{5}{2}$

$x_2=\frac{-34(-)14} {8}=-6$

6 0

2 years ago

Find the diameter, rounded to the nearest tenth.<br>a) 55.5<br>b) 68.2<br>c) 60.7<br>d) 49.1

docker41 [41]

Answer:

D 49.1

Step-by-step explanation:

Hope it helps

have a great day

3 0

2 years ago

PLS HELP WILL MARK YOU BRAINLIEST!!!

Angelina_Jolie [31]

$\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)$

$\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5$

$\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5$

$\\ \sf\longmapsto 3x^2-2$

6 0

2 years ago

Read 2 more answers

Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18

postnew [5]

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{9\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 9 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 9

5 0

2 years ago

What is the area of the triangle in centimeters squared?

vekshin1

112 centimeters squared

Explanation:
The formula for area of a triangle is:
1/2 • base • height

REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong

Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112

FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared

Have a nice day, hope this helps!

5 0

3 years ago