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aleksandrvk [35]
2 years ago
11

Consider the function g(x) =-3(x-2) 2 + 3 what is the vertex

Mathematics
1 answer:
Margarita [4]2 years ago
4 0

Answer:

The vertex is (2, 3)

Step-by-step explanation:

This is because the parent equation for problems like these is y=a(x-h)2 +k. The vertex is found through (h, k) and so with 2 as H and 3 as K, the vertex is (2,3).

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The simplified version would be 8nx - 7p - 6x 
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3 years ago
Which graph shows y &lt; x² +1?<br> O<br> 4) Intro<br> •
Ket [755]

The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.

<h3>How to graph an inequality?</h3>

The steps to graph an inequality equation are:

  • Solve for the variable y in the given equation
  • Graph the boundary line for the inequality
  • Shade the region that satisfies the inequality.

<h3>Calculation:</h3>

The given inequality is y < x² + 1

Finding points to graph the boundary line by taking y = x² + 1:

When x = -2,

y = (-2)² + 1 = 4 + 1 = 5

⇒ (-2, 5)

When x = -1,

y = (-1)² + 1 = 2

⇒ (-1, 2)

When x = 0,

y = (0)² + 1 = 1

⇒ (0, 1)

When x = 1,

y = (1)² + 1 = 2

⇒ (1, 2)

When x = 2,

y = (2)² + 1 = 5

⇒ (2, 5)

Plotting these points in the graph forms an upward-facing parabola.

So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.

From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".

Learn more about graphing inequalities here:

brainly.com/question/371134

#SPJ1

5 0
2 years ago
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How many millimeters is in 23 centimeters?
Natalka [10]

(23 centimeters) x (10 millimeters/1 centimeter) = <em>230 millimeters</em>

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Which of the following is the midsegment for A ACE?
11111nata11111 [884]

Answer:

A. DB

Step-by-step explanation:

The line BD is the mid segment because it connects the midpoints of line segment AC and CE

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3 years ago
Figure on the right shows line A is parallel to line B and line C intersects lines A and B to form 8 angles Wich two angles are
Fed [463]

Answer:

<u>B</u><u>.</u><u> </u>

Step-by-step explanation:

We answer that before thank you

3 0
2 years ago
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