Quadratic Function in the Vertex Form

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Which of the following equations matches vertex form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

What piece of information does k identify in the following equation? y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

What is the vertex of the parabola: y = 2(x - 3)² + 4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Rewrite the equation in vertex form
y = -2x² +8x-6

• y = 2(x+2)²-2

• y = -2(x-2)²+2

• y = -2(x-2)²-2

• y = 2(x-2)²+2

What piece of information does h identify in the following equation? y = a(x - h)² + k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept

Given the equation for this parabola:

y = - (x - 4)²- 3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

• Not enough information

Tags

CCSS.HSF-IF.C.7A

What is the vertex?

y = x² + 6x - 5

• -3

• -14

• (3, -14)

• (-3, -14)