Mathematics
Grade10
Easy

Question

Find the k value of vertex (h, k) for the equation y equals 6 x squared plus 24 x plus 2.

  1. 23
  2. -23
  3. -2
  4. 2

hintHint:

In this question, we have to find the k value of vertex (h, k) for the equation y equals 6 x squared plus 24 x plus 2. Vertex form is another form of a quadratic equation. The standard form of a quadratic equation is ax squared + bx + c. The vertex form of a quadratic equation is a left parenthesis x minus h right parenthesis squared + k where a is a constant that tells us whether the parabola opens upwards or downwards, and (h, k) is the location of the vertex of the parabola.

The correct answer is: -23


    y equals 6 x squared plus 24 x plus 2
y minus 2 equals 6 x squared plus 24 x
y minus 1 equals 6 open parentheses x squared plus 4 x close parentheses
    Adding open parentheses 4 over 2 close parentheses squared on both the sides,
    y minus 1 plus 6 left parenthesis 4 right parenthesis equals 6 open parentheses x squared plus 4 x plus 4 close parentheses
y plus 23 equals 6 left parenthesis x plus 2 right parenthesis squared
y equals 6 left parenthesis x plus 2 right parenthesis squared minus 23

    Related Questions to study

    Grade10
    Mathematics

    Find the solutions for the equation y equals x squared plus 16 x plus 25.

    Prime factorization of any number can be done by using two methods: (1) Division  method and (2) Factor tree method.

    Find the solutions for the equation y equals x squared plus 16 x plus 25.

    MathematicsGrade10

    Prime factorization of any number can be done by using two methods: (1) Division  method and (2) Factor tree method.

    Grade10
    Mathematics

    Find the solutions for the equation y equals x squared plus 4 x minus 6 using vertex form.

    Find the solutions for the equation y equals x squared plus 4 x minus 6 using vertex form.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the solutions for the equation x squared plus 6 x minus 9 equals 0

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Find the solutions for the equation x squared plus 6 x minus 9 equals 0

    MathematicsGrade10

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    parallel
    Grade10
    Mathematics

    Find the solutions for the equation x squared minus 10 x plus 12 equals 0

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Find the solutions for the equation x squared minus 10 x plus 12 equals 0

    MathematicsGrade10

    In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number.

    Grade10
    Mathematics

    x squared plus 8 x plus c .Find the value of ‘c’ that makes the expression  a perfect square trinomial.

    x squared plus 8 x plus c .Find the value of ‘c’ that makes the expression  a perfect square trinomial.

    MathematicsGrade10
    Grade10
    Mathematics

    The coordinates of the vertex of the parabola, whose equation is y = 2x2 + 4x - 5 are:

    The other method to find the vertex of a parabola is as We know that the x-coordinate of a vertex, (i.e) h is -b/2a. Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

    The coordinates of the vertex of the parabola, whose equation is y = 2x2 + 4x - 5 are:

    MathematicsGrade10

    The other method to find the vertex of a parabola is as We know that the x-coordinate of a vertex, (i.e) h is -b/2a. Now, substitute the x-coordinate value in the given standard form of the parabola equation y=ax2+bx+c, we will get the y-coordinate of a vertex.

    parallel
    Grade10
    Mathematics

    Find the solution of quadratic equation 8 x squared minus 10 equals 54 using square roots.

    Find the solution of quadratic equation 8 x squared minus 10 equals 54 using square roots.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the solution of quadratic equation 6 x squared minus 13 equals 23 using square roots.

    Find the solution of quadratic equation 6 x squared minus 13 equals 23 using square roots.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the solution of quadratic equation x squared plus 1 equals 1 using square roots.

    Find the solution of quadratic equation x squared plus 1 equals 1 using square roots.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    Determine the solutions of each of the quadratic equations by inspecting the graph. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    Grade10
    Mathematics

    Determine the solutions of the quadratic equation by inspecting the table of x and y values.

    Determine the solutions of the quadratic equation by inspecting the table of x and y values.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    Determine the type of solution of the quadratic equation x squared minus x plus 41 equals 0.

    Determine the type of solution of the quadratic equation x squared minus x plus 41 equals 0.

    MathematicsGrade10
    Grade10
    Mathematics

    Find the discriminant of the quadratic equation 5 x squared minus 8 x plus 1 equals 0.

    Find the discriminant of the quadratic equation 5 x squared minus 8 x plus 1 equals 0.

    MathematicsGrade10
    Grade10
    Mathematics

    Draw the graph for the quadratic equation x squared minus 2.5 x plus 1 equals 0. Give answers correct to 1 decimal place where appropriate.

    Draw the graph for the quadratic equation x squared minus 2.5 x plus 1 equals 0. Give answers correct to 1 decimal place where appropriate.

    MathematicsGrade10
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.