Precalc April W4: hyperbolas and parabolas

What type of graph is this?

• Hyperbola

• Exponential

• Linear function

• Parabola

What type of graph is this?

• Hyperbola

• Exponential

• Linear function

• Parabola

What is the equation describing the relationship between dimensions and foci of a hyperbola?

• c² = a² + b²
• c² = a² - b²
• 4p
• (x-h)² + (y-k)² = r²

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

• x²/25 + y²/11 = 1
• x²/5 - y²/11 = 1
• x²/11- y²/25 = 1
• x²/25 - y²/11= 1

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

Write in standard form,  $x^2-4y^2+10x+32y-75=0$  

•  $\frac{\left(y-4\right)^2}{36}-\frac{\left(x+5\right)^2}{9}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x+5\right)^2}{36}=1$  

•  $\frac{\left(y-4\right)^2}{9}-\frac{\left(x-5\right)^2}{36}=1$  

•  $\frac{\left(x+5\right)^2}{36}-\frac{\left(y-4\right)^2}{9}=1$  

What number would go in the blank?

• -2
• -4
• -8
• -16

Tags

CCSS.HSG.GPE.A.2

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6