Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. fx) = 4(x - 2)2 -2 Use the graphing tool to graph the equation. Use the vertex and the y-intercept when drawing the graph. Click to enlarge graph The axis of symmetry is x=2 (Type an equation. Simplity your answer) The domain of f is (Type your answer in interval notation.) The range of fisO (Type your answer in interval notation.)

Q: Write an equation in intercept form of the parabola that passe intercepts -2 and 4. y%3D

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Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

A: a) To find the maximum height, we solve h'(x)=0 Answer(a): 2500 feet

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y= 4x- 8x+6…

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Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = -2x2 -…

A: The standard form of one of the parabola is y=ax-h2+k where the vertex of the parabola is…

Q: Sketch each parabola: label the intercepts, axis of symmetry, and vertex. y% 4x2-8x+2 r: X-…

A: see the attached file for a detailed solution .

Q: Write an equation of the parabola that has the same shape as the graph of f(X)=3^2, but with a (7,6)…

A: The general equation of a parabola in vertex form is y=ax-h2+k. It is given that the required…

Q: y=-x² - 2x-5 Plot five points on the parabola: the vertex, two points to the left of the vertex, and…

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Q: What is the y-intercept of the graph of the parabola whose equation is y = x² – 2x- 8? A (4,0) B…

A: The point where a line or curve crosses the y-axis of a graph.  In other words: find the y value…

Q: A soccer ball is kicked into the air. Its height above the ground is described by the equation y = −…

A: The height above the ground is described by the equation, y=-16x2+48x, where x=time in seconds and…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: Without graphing, determine the x- and y-intercepts of the parabola. у-4(х-2)? - 36

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Q: The x-intercepts of a parabola are 10 and -6. Determine the midpoint. 8 -2

A: We have to find the roots of the function.

Q: Write the equation in standard form . Identify the vertex , axis of symmetry , and direction of…

A: Consider the given equation of the parabola  y=x2-2x+4

Q: A fountain shoots water in an arc over a lake that can be modeled.by the graph of the equation y…

A: Given:

Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: Write an equation for the parabola with a vertex at the origin, passing through (V6,30), and opening…

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Q: 12. (-2, 13), (1,-17), (7, 31)

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Q: Using the graph, determine the coordinates of the y-intercept of the parabola. 10 8. 4 -10 -9 -8 -7…

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Q: Write an equation in intercept form of the parabola that passes through the point (3, 40) and has…

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Q: An architect is designing a museum entranceway in the shape of a parabolic arch represented by the…

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Q: Sketch eachh parabola, label the intercepts, axis of symmetry, and vetex. y=x²-2x-7 Xntercepts are…

A: To sketch the parabola

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y=x²-…

A:

Q: Write an equation (any form) for the quadratic graphed below: 5+ 3- -5 4 -3 -2 -1, -2 y = Question…

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Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given:

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: We know that the standard form of parabola  y = a(x-h)^2 + k

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: Write an equation for the parabola that passes through (4, 3) and has x-intercepts of -1 and 5. An…

A: To find the equation of the parabola

Q: A soccer ball is kicked into the air. Its height above the ground is described by the equation y = −…

A: Given y=-16x2+48x

Q: Graph the parabola. Label the vertex, axis, and intercepts in each case. y = x2 - 2x - 3

A: To find the vertex  So vertex is (1,-4) And axis is x=1

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 + 4x

A:

Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

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Q: Graph the parabolas. Label the vertex, axis, and intercepts in each case. y = -x? – 6xr – 5 - 5 x² +…

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Q: Find the attributes of the parabola. Provide the equation for the quadratic function.

A: Given To find the attributes of the parabola and provide the equation for the quadratic function.

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 - 6x - 5

A: Given:

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: Write an equation for a parabola with a vertex at the origin, passing through (2,1), and symmetric…

A: The vertex of the parabola is at the origin and it is symmetric about x axis Also it passes through…

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 5x…

A: The solution are next step

Q: Find the axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

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Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 4x − 6…

A: The given equation of parabola is,

Q: e the vertex of the parabola whose equat

A: The given parabola is  (y-9)2=-4(x-2)

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y= - 4x…

A: The given function is y=-4x2+16x-12

Q: Write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and passes…

A: To write the equation of a parabola whose vertex is at the origin, focus is on the y-axis, and…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,

Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below