How does the graph of y = a(x – h)^2 + k change if the value of h is doubled?
a. the vertex of the graph moves to a point twice as far from the x-axis.
b. the vertex of the graph moves to a point twice as far from the y-axis.
c. the vertex of the graph moves to a point half as far from the x-axis.
d. the vertex of the graph moves to a point half as far from the y-axis

Option B : The vertex of the graph moves to a point twice as far from theyx-axis.

Step-by-step explanation:

The Given Equation is

rewriting the given equation it becomes the standard equation of parabola.i.e.,

where (h,k) is vertex of the parabola.

This parabola is opened toward positive y axis.

If we doubled the value of h the vertex moves in right direction of initial position as 2h is greater than h or 2h is on right side of h on x-axis.

Since, 2h is twice of h. Therefore, vertex moves twice as far from initial vertex.

Option B is Correct : The vertex of the graph moves to a point twice as far from the y- axis.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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