Use the discriminant to determine the number and types of solutions of the quadratic equation. 7 = 5x – 3x2

Q: Find the general form of the quadratic equation with the vertex (-2,-3) and a point on the graph…

A: Given: The vertex of the quadratic equation is (-2,-3) and a point on the graph (4,33).

Q: Find the quadratic function y = a(x-h) whose graph passes through the given points. (9,- 12) and…

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Q: Of the quadratic functions shown below, which has imaginary zeroes? (1) (3) (2) (4)

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Q: Troy rewrites the quadratic function h(x) = x2 – 10x- 17 in the form of h(x) = a(x -h) + k by…

A: The given function is hx=x2-10x-17.

Q: 3. f(x) = -x2 - 2x + 1

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Q: Write a quadratic function wnose zeros are o and s(x) = 0

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Q: Write an equation of the quadratic equation given below.

A: The quadratic functions graph passes through the points (-1,0) and (4,0)

Q: Write the quadratic function in the form y = a(x - h) + k and sketch its graph. y= 5x? - 20x + 15 y…

A: The quadratic function: y=ax2+bx+c represents a parabola. The vertex form of a quadratic equation is…

Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

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Q: Graph the quadratic equation. Identify the vertex and the x-intercepts. 9) y = x2 + 6x + 9 10) y =…

A: Solution: - a) The given quadratic equation  is  given  y=x2+6x+9

Q: Please answer the question in the attachment.

A: The given function is f (x) = x2–8x–9… (1)Compare the given function with the quadratic equation.

Q: 1. f(x) = x² + 2x + 4

A: Given that:-f(x)=x2+2x+4since we have to find,equation in the form of y = a (x - h)² + k ,vertex,…

Q: Write an equation in vertex form for the quadratic function that has a vetex of (5, 3) and a latus…

A: Vertex of parabola is (5,3); (h, k)=(5,3) Latus rectum of the parabola is 2 for parabola y2=4ax…

Q: Sailors use the following quadratic function to estimate wave height h, in feet, from wind speed w,…

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Q: Use the graph of the quadratic function f to write its formula as f(x) a(x-h) +k. (X) =D (Simplify…

A: Given that, There is a graph of function f(x). And the equation of f(x) is, f(x) = a(x- h)2 + k We…

Q: Modify the following equation so that is in quadratic form. Determine the values for a, b, and c.…

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Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: The given statement is false.  A quadratic equation always can't have distinct solution.

Q: Write the equation of a quadratic function with roots at 6 and 2, and a vertex at (4, -4/3). Write…

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Q: h(x) = 22 + 20x + 90 h(z) =O %3D vertex: (.O

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Q: Use the graph of the quadratic function f to write its formula as f(x) 3Da(x-h)+k. f(x) = (Simplify…

A: The given graph is,

Q: Write an equation in standard form of the parabola that has the same shape as the graph of…

A: Given:- f(x)= 9x2 To find:- Standard equation of parabola same shape parabola with vertex (4, 7)

Q: Rewrite the quadratic function in standard form and give the v h(x) = 3x + 12x | 10 2 The vertex Is…

A: The given equation is  h(x)=3x2+12x+10

Q: Use a graphing utility to graph the quadratic function f(x) = 2x2 − 7x − 30. Find the x-intercept(s)…

A: To Determine: a) Use a graphing utility to graph the quadratic function b) Find the x-intercept(s)…

Q: Write the equation of a quadratic function with the given zeros. 2 and -6 22 + I +

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Q: In factored form of a quadratic function, I can find the axis of symmetry by doing which of the…

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Q: Write the equation of the quadratic function in standard form given the roots are 2 and -2 and a…

A: Write the quadratic equation with the help of roots and satisfy the given point.

Q: Sailors use the following quadratic function to estimate wave height h, in feet, from wind speed w,…

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Q: equation

A: We will find the equation of the quadratic.

Q: Write the quadratic function in the form y = a(x - h)? + k and sketch its graph. y = 5x2 - 20x + 10…

A: We can answer the question and graph the quadratic function as below.

Q: How many solutions are shown by the graph of the quadratic function? B) (D three onc

A: To find how many solutions are shown by the graph of the quadratic function

Q: Find the two roots of the quadratic function f(x) : 7x2 + 8x + 9 Enter your answers as exact…

A: Given : f(x)=−7x2+8x+9

Q: Sailors use the following quadratic function to estimate wave height h, in feet, from wind speed w,…

A: Given quadratic function,height, h = 0.02w2     where w is wind speed

Q: OSomeone throws a ball at an inclination of 30° to the horizontal. The following data represent the…

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Q: 7. f(x) = x2 - 6x – 3

A: f(x) = x2 -6x-3  To find:- Vertex form of equation  Axis of symmetry  Intercepts

Q: Use the graph of the quadratic function, g(x), to answer each question. a. g(-1)-L g(x) b. g(-3)- c.…

A: Simple , you can check value of 'x' on the x-axis and check what gives graph g(x) .

Q: Someone throws a ball at an inclination of 30° to the horizontal. The following data represent the…

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Q: Write the quadratic function in the form y = a(x-h)? + k and sketch its graph. Ay 40- y = x2 - 12x y…

A: The given quadratic function,  y=x2-12x

Q: Sailors use the following quadratic function to estimate wave height h, in feet, from wind speed w,…

A: We need to find wave height and wind speed at given data.

Q: Write a cubic equation in vertex form for a function that is reflected across the y-axis, vertically…

A: We know that; Standard equation of cubic function = x3

Q: please answer the question in the attachment

A: Given function is: The vertex of the quadratic function occurs at x = -b/2aPlugging the values:When…

Q: d. Determine the exact x-intercept(s) of the quadratic function y= f(x)= 3x² +18x –10. Use the…

A: To Determine: x-intercepts of the given quadratic function…

Q: 2- Write a user defined function to find roots of quadratic equation is f(x)= x² + 4x – 12 - b F…

A: In this question we have to write a user defined function to find roots of quadratic equation.

Q: Find the quadratic function fix) = ax? + bx + c for which f(1)= - 4, f( – 2) = - 43, and f(2) = -…

A: Given: f(x)=ax2+bx+c     for   f(1)=-4, f(-2)=-43 and f(2)=-15 substituing f(1)=-4…

Q: Write the quadratic function in the vertex form P(x) = a(x – h)? + k by completing the square. Then…

A: Here we find the value of a,h,k by completing square method.

Q: 4. f(x) = x2 + 4x + 2

A: The given equation is; f(x) = x2+4x+2

Q: Complete the square of the given quadratic expression. Then, graph the function using the technique…

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Q: Write the equation of the quadratic function in standard form given the roots are 6 and 3 and a…

A: Let the standard form of the quadratic function is  y=ax^2+bx+c  But 6 and 3 are the roots of the…

Q: Write the quadratic function in vertex form. Then identify the vertex. g(1) = 12 + 12x +37 %3D g(2)…

A: Given: gx=x2+12x+37 So, We can write as a quadratic form in equation form is:…

Q: Given the graph of a quadratic function, determine the signs of a and c: А. а>0, с>0 В. а>0, с0 D.…

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