Vertex Form Notes Quiz

What transformation does the term "+5" inside the parentheses apply to the function g(x) = 2(x + 5)^2 – 2?

• It shifts the graph to the right by 5 units.

• It shifts the graph up by 5 units.

• It shifts the graph to the left by 5 units.

• It stretches the graph vertically by a factor of 5.

What is the vertex of the function g(x) = 2(x + 5)^2 – 2?

• (5, -2)

• (-5, 2)

• (-5, -2)

• (2, -5)

In the vertex form of a quadratic function f(x) = a(x – h)^2 + k, what does the "a" value determine?

• The direction in which the parabola opens and the horizontal shift.

• The vertical shift and the width of the parabola.

• The direction in which the parabola opens and the width of the parabola.

• The horizontal and vertical shifts of the vertex.

Tags

CCSS.HSF-IF.C.7A

Based on the vertex form, what is the vertex of the function f(x) = (x + 3)^2 + 7?

• (3, 7)

• (-3, 7)

• (7, 3)

• (-7, -3)

What is the maximum or minimum value of the function f(x) = -2(x – 2)^2 – 4?

• Maximum at 2

• Minimum at -2

• Maximum at -4

• Minimum at -4

For the function f(x) = - (x – 10)^2 + 3, where is the vertex located?

• (10, 3)

• (-10, -3)

• (3, 10)

• (-3, -10)

What is the effect of a negative "a" value on the direction in which a parabola opens?

• It opens upwards.

• It opens downwards.

• It opens to the right.

• It opens to the left.

What is the vertex of the function f(x) = (x - 7)² + 2?

• (7, 2)

• (-7, 2)

• (7, -2)

• (-7, -2)

After converting the function g(x) = 2(x + 5)² into standard form, what is the coefficient of x²?

• 2

• 10

• 20

• 50

What is the standard form of the function h(x) = -(x - 3)² - 8?

• h(x) = -x² + 6x - 17

• h(x) = x² - 6x + 17

• h(x) = -x² - 6x + 17

• h(x) = x² + 6x - 17