. Determine the equation of the following. a) The parabola with vertex (-6, -2) and passes through the point (-3, -11) in the form y = a(x - h)? + k b) The parabola drawn below, in the form y = a(x – r)(x - s) (2, 2) (0, 0) (4,0)

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

A:

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

A:

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: Но 1. Find two equations of two parabolas satisfying the following conditions: a. The first parabola…

A: We need to find two equations of two parabolas satisfying the given two conditions.

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

A:

Q: Suppose a parabola has vertex (-8, -7) and also passes through the point (-7, -4). Write the…

A:

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: 14. Which equation represents the given O y = -4(# – 4)² + 5 1= +(7 – 4)2 + 5

A:

Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

A:

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: 18. a. The graph of a parabola touches the x-axis at x-4 and passes through the point (2,9).…

A: a. Since the parabola touches the x-axis at x = -4, we know that one of the roots of the quadratic…

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

A:

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

A:

Q: Write an equation of the parabola in vertex form. (8,3) 8 (4,-1) 4 An equation of the parabola is y…

A: Equation of parabola which open upwards or downward in the vertex form is y=a(x-h)2+k  here (h,k) is…

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: Find the equations of the osculating circles of the parabola y = 3(x – 2)2 at the points (2,0)

A:

Q: 7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

A: Here we have to find equation of given parabola.

Q: 20 (0, 3) %23 -4-2 2468 4 to (3,-6) Write the standard form of the equation of the parabola shown at…

A: From given vertex write the standard form of equation of parabola and than satisfy the given point…

Q: The age of a father is the sum of the ages of his two children, while a few years ago (exactly the…

A: As per as our guideline i am supposed to answer only one question please repost second question…

Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

A:

Q: 4. Identify the vertex of the parabola y = x? + 4x + 3. O (-2, –1) O (-2,3) O (2, -1) (2, 3) z2 - 2r…

A:

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A: