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abruzzese [7]
3 years ago
10

What image of abc is abc what transformations would result in

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Do u still need help

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Determine the equation of each of the following parabolas
nata0808 [166]

Try this solution with a short explanation:

a) y=ax²+5; ⇒ substitution (4;0): 16a+5=0; ⇒ a= -5/16.

Answer: <u>y= -5/16 x²+5</u>;

b)<u> y=x²</u>;

c) y=ax(x+7); ⇒ substitution (4;4): 4a(4+7)=4; ⇒a=1/11.

Answer: <u>y= 1/11 x²+ 7/11 x</u>;

d) y=a(x-1)(x-3); ⇒substitution (0;3): (-1)*(-3)*a=3; ⇒a=1.

Answer: <u>y=x²-4x+3</u>;

e) y=a(x-1)(x+3); ⇒ substitution (-1;5): (-2)*2*a=5; ⇒ a= -5/4.

Answer: <u>y= -5/4 x² -5/2 x +15/4</u>;

f) y=ax²+bx+c; ⇒ substitution (2;2): 4a+2b+6=2 or 2a+b= -2 (the I-st equation of the system);

the x-coordinate of the vertex: -b/2a=2; ⇒ b= -4a (the II-d equation of the system);

\left \{ {{2a+b=-2} \atop {b=-4a}} \right. \ => \ \left \{ {{a=1} \atop {b=-4}} \right.

Answer: <u>y=x²-4x+6.</u>

4 0
3 years ago
Which inequality is shown in the graph?
FinnZ [79.3K]

Answer:

Step-by-step explanation:

6 0
2 years ago
Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21
sergey [27]

Answer:

y=(x+4)^{2}-37

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a> 0 then the parabola open upward (vertex is a minimum)

if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=x^{2}+8x-21

Convert to vertex form

Complete the square

y+21=x^{2}+8x

y+21+16=(x^{2}+8x+16)

y+37=(x^{2}+8x+16)

y+37=(x+4)^{2}

y=(x+4)^{2}-37 --------> equation in vertex form

The vertex is the point (-4,-37)

the parabola open upward (vertex is a minimum)

4 0
3 years ago
Read 2 more answers
The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the tr
Gnesinka [82]
<span>C) y = (x + a)2 - b </span>is the answer
8 0
3 years ago
Read 2 more answers
Solve the inequality for x. –4x + 6 &lt; 50 A) x &gt; –11 B) x &gt; –14 C) x &lt; –11 D) x &lt; –14
Natali [406]

Answer:

x > -11

Step-by-step explanation:

<u>Step 1:  Subtract 6 from both sides</u>

-4x + 6 - 6 < 50 - 6

-4x < 44

<u>Step 2:  Divide both sides by -4</u>

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.

<em>x > -11</em>

<em />

Answer:  x > -11

6 0
3 years ago
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