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inysia [295]
2 years ago
14

Write a quadratic function to model the graph to the right

Mathematics
1 answer:
Komok [63]2 years ago
6 0

Answer:

y = x² + 2x + 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 1, 4), thus

y = a(x + 1)² + 4

To find a substitute (0, 5) a point on the graph into the equation

5 = a(0 + 1)² + 4

5 = a + 4 ( subtract 4 from both sides )

a = 1, thus

y = (x + 1)² + 4 ← expand and simplify

  = x² + 2x + 1 + 4

  = x² + 2x + 5

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i need help with this question on my homework, i never learned it and i want to know the answer and how to do it. can someone he
nydimaria [60]

The heavy line means  the values on this part are in the solution set. . The open circle means that this value ( - 3) is NOT included in the solution set.

So the answer is  x > -3.

8 0
3 years ago
Candace's backyard has a flower garden that covers 40% of her backyard.If the total area of her backyard is 450 square feet, how
ruslelena [56]

Answer: option B is the correct answer

Step-by-step explanation:

Candace's backyard has a flower garden that covers 40% of her backyard.

If the total area of her backyard is 450 square feet, it means that her garden covers 40% of 450 square feet.

To determine how many square feet is her flower garden, we will find the value of 40% of 450 square feet. It becomes

40/100 × 450= 0.4×460 = 180 square feet

3 0
2 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)? y = -3/2x+7/2 2y = -3x + 7 2
SOVA2 [1]

Answer:

The equation of the line would be y = -3/2x + 7/2

Step-by-step explanation:

In order to find this, we must first use the slope formula with the two point to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - -1)/(-1 - 3)

m = 6/-4

m = -3/2

Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

3 0
2 years ago
What is the area of triangle ABC? Round to the nearest tenth of a square unit. square units
Akimi4 [234]

Use the formula.

 Area = (1/2)*13*10*sin(72°) ≈ 61.8 units².

6 0
3 years ago
Read 2 more answers
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Alex787 [66]

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

6 0
2 years ago
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